{"presentation":{"slides":[{"elements":[{"x":3.5203180212014136,"y":7.019230769230769,"width":93.63957597173145,"height":90.9090909090909,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

<\/h2>\n\n
Binomische Formeln<\/span><\/strong><\/p>\n\n
In diesem Kurs lernst du, wie man binomische Formeln berechnet.<\/span><\/p>\n\n
Das Thema beginnt mit einem Erkl\u00e4rvideo. Danach kommen \u00dcbungen.<\/span><\/p>\n\n
<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"},"subContentId":"aa8523e9-4c1d-451a-946d-b345dac8a5a0"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{},"keywords":[{"main":"Einf\u00fchrung"}]},{"elements":[{"x":3.5335689045936394,"y":0,"width":93.63957597173145,"height":100,"action":{"library":"H5P.Video 1.6","params":{"visuals":{"fit":true,"controls":true},"playback":{"autoplay":false,"loop":false},"l10n":{"name":"Video","loading":"Videoplayer l\u00e4dt...","noPlayers":"Keine Videoplayer gefunden, die das vorliegende Videoformat unterst\u00fctzen.","noSources":"Es wurden f\u00fcr das Video keine Quellen angegeben.","aborted":"Das Abspielen des Videos wurde abgebrochen.","networkFailure":"Netzwerkfehler.","cannotDecode":"Dekodierung des Mediums nicht m\u00f6glich.","formatNotSupported":"Videoformat wird nicht unterst\u00fctzt.","mediaEncrypted":"Medium verschl\u00fcsselt.","unknownError":"Unbekannter Fehler.","invalidYtId":"Ung\u00fcltige YouTube-ID.","unknownYtId":"Video mit dieser YouTube-ID konnte nicht gefunden werden.","restrictedYt":"Der Besitzer dieses Videos erlaubt kein Einbetten."},"sources":[{"path":"https:\/\/youtu.be\/Gp057pUTtsU","mime":"video\/YouTube","copyright":{"license":"U"}}]},"metadata":{"contentType":"Video","license":"U","title":"Unbenannt: Video"},"subContentId":"2cc6a138-8cfe-4d98-9790-4b546d3f30bc"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":3.5335689045936394,"y":6.993006993006993,"width":93.68191721132898,"height":75.26881720430107,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

\nDie erste binomische Formel<\/span><\/p>\n\n
(a + b) = a\u00b2 + 2ab + b\u00b2<\/span><\/p>\n\n
Wenn du beim L\u00f6sen der folgenden Aufgaben Schwierigkeiten hast, dann zeichne dir eine Tabelle, wie sie im Video verwendet wird!<\/span><\/p>\n\n
<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"},"subContentId":"e4bb3e74-e161-4a49-b28e-bdfd9f0b0039"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"slideBackgroundSelector":{},"elements":[{"x":1.7667844522968197,"y":38.46153846153846,"width":95.40636042402826,"height":55.94405594405595,"action":{"library":"H5P.SingleChoiceSet 1.11","params":{"overallFeedback":[{"from":0,"to":100}],"behaviour":{"autoContinue":true,"timeoutCorrect":2000,"timeoutWrong":3000,"soundEffectsEnabled":true,"enableRetry":true,"enableSolutionsButton":true,"passPercentage":100},"l10n":{"nextButtonLabel":"Weiter","showSolutionButtonLabel":"L\u00f6sung anzeigen","retryButtonLabel":"Wiederholen","solutionViewTitle":"L\u00f6sung","correctText":"Richtig!","incorrectText":"Falsch!","muteButtonLabel":"Stumm schalten","closeButtonLabel":"Schlie\u00dfen","slideOfTotal":"Seite :num von :total","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","solutionListQuestionNumber":"Frage :num","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"choices":[{"question":"(x + y)\u00b2 =","answers":["x\u00b2 + 2xy + y\u00b2","x\u00b2 + 4x + 4","x\u00b2 + 8x + 16","x\u00b2 + 6x + 9"],"subContentId":"cd51c686-c909-4044-ac47-f74be4bb14db"},{"question":"(x + 2)\u00b2 =","answers":["x\u00b2 + 4x + 4","x\u00b2 + 8x + 16","x\u00b2 + 6x + 9","x\u00b2 + 2xy + y\u00b2"],"subContentId":"9ed97385-5afe-41fa-8801-986591b77dfe"},{"question":"(x + 4)\u00b2 =","answers":["x\u00b2 + 8x + 16","x\u00b2 + 6x + 9","x\u00b2 + 2xy + y\u00b2","x\u00b2 + 4x + 4"],"subContentId":"15819f3b-717d-46c7-bf89-e017e7562109"},{"question":"(x + 3)\u00b2 =","answers":["x\u00b2 + 6x + 9","x\u00b2 + 2xy + y\u00b2","x\u00b2 + 4x + 4","x\u00b2 + 8x + 16"],"subContentId":"de7d4f35-b771-495c-b5c0-eee7255cee00"},{"question":"(y + 2)\u00b2 =","answers":["y\u00b2 + 4y + 4","y\u00b2 + 12y + 36","x\u00b2 + 6x + 9","4x\u00b2 + 12xy + 9y\u00b2"],"subContentId":"4465cf69-3567-4310-90ed-d8e530b469df"},{"question":"(y + 6)\u00b2 =","answers":["y\u00b2 + 12y + 36","x\u00b2 + 6x + 9","4x\u00b2 + 12xy + 9y\u00b2","y\u00b2 + 4y + 4"],"subContentId":"ff43a0d4-3139-420d-924d-077614d44593"},{"question":"(x + 3)\u00b2 =","answers":["x\u00b2 + 6x + 9","4x\u00b2 + 12xy + 9y\u00b2","y\u00b2 + 4y + 4","y\u00b2 + 12y + 36"],"subContentId":"afad2356-3a6a-4eca-b4a8-54467cc839a0"},{"question":"(2x + 3y)\u00b2 =","answers":["4x\u00b2 + 12xy + 9y\u00b2","y\u00b2 + 4y + 4","y\u00b2 + 12y + 36","x\u00b2 + 6x + 9"],"subContentId":"58c4fd21-ac35-4984-a7c6-2409a1844be4"},{"question":"(3x + y)\u00b2 =","answers":["9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9","x\u00b2 + 6x + 9"],"subContentId":"92eb7df8-946d-4621-a36e-2f09afae20f5"},{"question":"(2x + y)\u00b2 =","answers":["4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9","x\u00b2 + 6x + 9","9x\u00b2 + 6xy + y\u00b2"],"subContentId":"e82ffced-4b63-41d1-83bb-78ce7a5a5d90"},{"question":"(2x + 3)\u00b2 =","answers":["4x\u00b2 + 12x + 9","x\u00b2 + 6x + 9","9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2"],"subContentId":"a38ee2a1-f21d-4201-9fab-fe499fed262f"},{"question":"(x + 3)\u00b2 =","answers":["x\u00b2 + 6x + 9","9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9"],"subContentId":"2faba5ef-45a4-4fdb-a277-7d31871ef04d"},{"question":"(2x + 3y)\u00b2 =","answers":["4x\u00b2 + 12xy + 9y\u00b2","9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9"],"subContentId":"33ee2164-31f2-43bd-88c4-4c9a886c937d"},{"question":"(3x + y)\u00b2 =","answers":["9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9","4x\u00b2 + 12xy + 9y\u00b2"],"subContentId":"8be9f2af-0951-437e-8e95-c307e5635e37"},{"question":"(2x + y)\u00b2 =","answers":["4x\u00b2 + 4xy + y\u00b2","4x\u00b2 + 12x + 9","4x\u00b2 + 12xy + 9y\u00b2","9x\u00b2 + 6xy + y\u00b2"],"subContentId":"8325ea66-13c1-47f6-8236-957430884c00"},{"question":"(2x + 3)\u00b2 =","answers":["4x\u00b2 + 12x + 9","4x\u00b2 + 12xy + 9y\u00b2","9x\u00b2 + 6xy + y\u00b2","4x\u00b2 + 4xy + y\u00b2"],"subContentId":"9edcb186-89f1-4937-a014-2b7f8170b43f"}]},"metadata":{"contentType":"Single Choice Set","license":"U","title":"Fragen (erste binomische Formel)"},"subContentId":"3cc70b84-c583-4c70-a28d-ae5746acad20"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.7623674911660776,"y":3.5183566433566433,"width":97.17314487632508,"height":31.46853146853147,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
<\/p>\n\n

\u00dcbungen zur ersten binomischen Formel<\/h2>\n"},"metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"},"subContentId":"39b53e22-c9bf-4a7d-b446-f78eb73fcf0d"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}]},{"elements":[{"x":3.5335689045936394,"y":6.993006993006993,"width":93.68191721132898,"height":75.26881720430107,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

\nDie zweite binomische Formel<\/span><\/p>\n\n
(a - b) = a\u00b2 - 2ab + b\u00b2<\/span><\/p>\n\n
Wenn du beim L\u00f6sen der folgenden Aufgaben Schwierigkeiten hast, dann zeichne dir eine Tabelle, wie sie im Video verwendet wird!<\/span><\/p>\n\n
<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"},"subContentId":"e4bb3e74-e161-4a49-b28e-bdfd9f0b0039"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"slideBackgroundSelector":{},"elements":[{"x":1.7667844522968197,"y":38.46153846153846,"width":95.40636042402826,"height":55.94405594405595,"action":{"library":"H5P.SingleChoiceSet 1.11","params":{"overallFeedback":[{"from":0,"to":100}],"behaviour":{"autoContinue":true,"timeoutCorrect":2000,"timeoutWrong":3000,"soundEffectsEnabled":true,"enableRetry":true,"enableSolutionsButton":true,"passPercentage":100},"l10n":{"nextButtonLabel":"Weiter","showSolutionButtonLabel":"L\u00f6sung anzeigen","retryButtonLabel":"Wiederholen","solutionViewTitle":"L\u00f6sung","correctText":"Richtig!","incorrectText":"Falsch!","muteButtonLabel":"Stumm schalten","closeButtonLabel":"Schlie\u00dfen","slideOfTotal":"Seite :num von :total","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","solutionListQuestionNumber":"Frage :num","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"choices":[{"question":"(x \u2500 y)\u00b2 =","answers":["x\u00b2 \u2500 2xy + y\u00b2","x\u00b2 \u2500 6x + 9","x\u00b2 \u2500 4x + 4","y\u00b2 \u2500 10y + 25"],"subContentId":"3949b9eb-28d0-4bec-b4d8-7451fe77ad42"},{"question":"(x \u2500 3)\u00b2 =","answers":["x\u00b2 \u2500 6x + 9","x\u00b2 \u2500 4x + 4","y\u00b2 \u2500 10y + 25","x\u00b2 \u2500 2xy + y\u00b2"],"subContentId":"c2e8eb2c-ecf6-4def-8722-ec422b83ba8b"},{"question":"(x \u2500 2)\u00b2 =","answers":["x\u00b2 \u2500 4x + 4","y\u00b2 \u2500 10y + 25","x\u00b2 \u2500 2xy + y\u00b2","x\u00b2 \u2500 6x + 9"],"subContentId":"813ebb61-c3c7-4486-97d1-c74b4e0764d5"},{"question":"(y \u2500 5)\u00b2 =","answers":["y\u00b2 \u2500 10y + 25","x\u00b2 \u2500 2xy + y\u00b2","x\u00b2 \u2500 6x + 9","x\u00b2 \u2500 4x + 4"],"subContentId":"76a524a0-7d02-45b2-a6ac-ea0eb6416c3d"},{"question":"(y \u2500 1)\u00b2 =","answers":["y\u00b2 \u2500 2y + 1","x\u00b2 \u2500 10x + 25","4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2"],"subContentId":"65f5ab5f-d48c-46fc-a7a2-18a045cb8fb2"},{"question":"(x \u2500 5)\u00b2","answers":["x\u00b2 \u2500 10x + 25","4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2","y\u00b2 \u2500 2y + 1"],"subContentId":"301f4f80-de2b-4e27-ba58-c48f4956a6e4"},{"question":"(2x \u2500 y)\u00b2 =","answers":["4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2","y\u00b2 \u2500 2y + 1","x\u00b2 \u2500 10x + 25"],"subContentId":"842a0647-6870-441e-ae7c-3185eb75d341"},{"question":"(3x \u2500 y)\u00b2 =","answers":["9x\u00b2 \u2500 6xy + y\u00b2","y\u00b2 \u2500 2y + 1","x\u00b2 \u2500 10x + 25","4x\u00b2 \u2500 4xy + y\u00b2"],"subContentId":"4a2133bc-29c8-42a6-9d8d-30b873bfe6f1"},{"question":"(4x \u2500 y)\u00b2 =","answers":["16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 12x + 9","16x\u00b2 \u2500 32xy + 16y\u00b2"],"subContentId":"e954e2a3-c5a7-4fdf-b172-2d9ee097bb72"},{"question":"(x \u2500 4y)\u00b2 =","answers":["x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 12x + 9","16x\u00b2 \u2500 32xy + 16y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2"],"subContentId":"b4debb22-b606-41d6-a3c1-ba1bd6d13635"},{"question":"(2x \u2500 3)\u00b2 =","answers":["4x\u00b2 \u2500 12x + 9","16x\u00b2 \u2500 32xy + 16y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2"],"subContentId":"c9496bec-fda0-484f-a26d-e92d34d52e26"},{"question":"(4x \u2500 4y)\u00b2 =","answers":["16x\u00b2 \u2500 32xy + 16y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 12x + 9"],"subContentId":"d5b6437d-255e-422b-8ac4-0e13172188ba"},{"question":"(2x \u2500 y)\u00b2 =","answers":["4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2"],"subContentId":"7f6c4d65-58b7-4f7b-88c4-810502e53445"},{"question":"(3x \u2500 y)\u00b2 =","answers":["9x\u00b2 \u2500 6xy + y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 4xy + y\u00b2"],"subContentId":"f96c5046-a308-4811-a103-d5be5dbe966d"},{"question":"(4x \u2500 y)\u00b2 =","answers":["16x\u00b2 \u2500 8xy + y\u00b2","x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2"],"subContentId":"2d244cc9-8cca-4724-8522-4664d3757321"},{"question":"(x \u2500 4y)\u00b2 =","answers":["x\u00b2 \u2500 8xy + 16y\u00b2","4x\u00b2 \u2500 4xy + y\u00b2","9x\u00b2 \u2500 6xy + y\u00b2","16x\u00b2 \u2500 8xy + y\u00b2"],"subContentId":"24aaf2b3-bd98-47b1-944e-cd62abb6ae7f"},{"question":"(2x \u2500 3)\u00b2 =","answers":["4x\u00b2 \u2500 12x + 9","16x\u00b2 \u2500 32xy + 16y\u00b2","x\u00b2 \u2500 y\u00b2","x\u00b2 \u2500 1"],"subContentId":"477d2df2-5fae-448a-8ce6-0ad8c60efbcd"},{"question":"(4x \u2500 4y)\u00b2 =","answers":["16x\u00b2 \u2500 32xy + 16y\u00b2","x\u00b2 \u2500 y\u00b2","x\u00b2 \u2500 1","4x\u00b2 \u2500 12x + 9"],"subContentId":"bfcbac49-1c90-4840-b8f1-9aea890ab0cb"}]},"metadata":{"contentType":"Single Choice Set","license":"U","title":"Fragen (zweite binomische Formel)"},"subContentId":"3cc70b84-c583-4c70-a28d-ae5746acad20"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.7623674911660776,"y":3.5183566433566433,"width":97.17314487632508,"height":31.46853146853147,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
<\/p>\n\n
\u00dcbungen zur zweiten binomischen Formel<\/h2>\n"},"metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"},"subContentId":"39b53e22-c9bf-4a7d-b446-f78eb73fcf0d"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}]},{"elements":[{"x":3.5335689045936394,"y":6.993006993006993,"width":93.68191721132898,"height":75.26881720430107,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

\nDie dritte binomische Formel<\/span><\/p>\n\n
(a + b)\u2219<\/span><\/span>(a - b) = a\u00b2 - b\u00b2<\/span><\/p>\n\n
Wenn du beim L\u00f6sen der folgenden Aufgaben Schwierigkeiten hast, dann zeichne dir eine Tabelle, wie sie im Video verwendet wird!<\/span><\/p>\n\n
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