Grafische Herleitung der 3. Binomischen Formel

★☆☆[br]Wende die 3. Binomische Formel an.[br](p + 3) ⋅ (p - 3) =
★☆☆[br]Wende die 3. Binomische Formel an.[br](2e + 4f) ⋅ (2e - 4f) =
★★★[br]Es gibt eine weitere Möglichkeit, um die 3. Binomische Formel zu veranschaulichen.[br]Bringe die Erklärung in die richtige Reihenfolge.[br]Orientiere dich dafür an der Skizze.[br][br][img]data:image/png;base64,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[/img][br][br][list=1][*]Die übrig gebliebene Fläche wird entlang der Diagonale des großen Quadrats geteilt.[/*][*]Eines der beiden Trapeze kann so gespiegelt und gedreht werden, dass die beiden Trapeze gemeinsam ein Rechteck ergeben.[/*][*]Die 3. Binomische Formel kann dargestellt werden, indem man von einem großen Quadrat mit dem Flächeninhalt a² ein kleineres Quadrat mit dem Flächeninhalt b² abzieht.[/*][*]Dadurch entstehen zwei Trapeze.[/*][*]Dieses Rechteck hat den Flächeninhalt (a + b) ⋅ (a - b).[/*][/list]
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Information: Grafische Herleitung der 3. Binomischen Formel