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Translated on November 13, 2025

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(a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² Where the formulas come from is easy to understand, because If I square something, I have to multiply it by itself If I now multiply all parts separately Then almost the first formula comes out And if I take a minus instead of a plus in the same one Then only one sign changes at the end If we look at a+b times a-b Then a²-b² remains The three equations we have just received Carry, how could it be otherwise, their own name But because it's already in the title of this song It's clear that it's about the binomial formulas (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² And anyone who learns or studies And squares a sum in the process Should know that it's never true If you just take the sum of the squares of the addends, because (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b²(a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² Where the formulas come from, it's easy to understand, because If I take something to the power of 2, I have to multiply it by itself If I now multiply all the parts separately Then almost the first formula comes out And if this time I take a minus instead of a plus Only one single sign changes at the end When we look at a+b times a-b We're left with a²-b² The three equations we just obtained Carry, as it should, their own name But because it's already in the title of this song It's clear that it's about the Binomial Formulas (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² And everyone who learns or studies And squares a sum along the way Should know that it's never right To just take the sum of the squares of the addends, because (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b² (a+b)² = a² + 2ab + b² (a-b)² = a² - 2ab + b²Where the formulas come from is easy to understand, because If I square something, I have to multiply it by itself If I now multiply all the parts separately Then almost the first formula comes out And if I replace the plus with a minus in the same Only one sign changes in the end If we look at a+b times a-b Then a²-b² remains The three equations we have just obtained Carry, as it must be, their own name But because it's already in the title of this song It's clear that it's about the Binomial Formulas (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² And everyone who learns or studies And squares a sum in the process Should know that it's never true When you only take the sum of the squares of the summands, because (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b²

Original lyrics

Binomische Formeln

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(a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² Woher die Formeln kommen, lässt sich leicht verstehen, denn Nehm' ich was hoch 2, muss ich's mit sich selbst mal nehmen Multipliziere ich jetzt alle Teile einzeln aus Dann kommt da auch schon fast die erste Formel raus Und nehm' ich in der selben mal ein Minus statt dem Plus Dann ändert sich nur ein einziges Zeichen am Schluss Wenn wir uns a+b mal a-b anseh'n Dann bleibt da a²-b² steh'n Die drei Gleichungen, die wir jetzt grad erhalten haben Tragen, wie soll es anders sein, einen eigenen Namen Doch weil es ja schon im Titel von dem Lied hier steht Ist klar, dass es um die Binomischen Formeln geht (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² Und jeder, der lernt oder auch studiert Und dabei eine Summe mal quadriert Sollte wissen, dass es niemals stimmt Wenn man nur die Summe der Quadrate der Summanden nimmt, denn (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b²

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Binomische Formeln

DorFuchs

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About the song "Binomische Formeln" by DorFuchs

"Binomische Formeln" is a standout release from DorFuchs, featured on "Mathe-Songs". Fans connect with its storytelling and this translation lets you follow every lyric.

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