Lösung 2.1:2e
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
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We expand the two quadratics using the squaring rule, and then sum the result | We expand the two quadratics using the squaring rule, and then sum the result | ||
| - | {{ | + | {{Abgesetzte Formel||<math>\begin{align} |
(a+b)^2+(a-b)^2 &= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\ | (a+b)^2+(a-b)^2 &= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\ | ||
&= a^2+2ab+b^2+a^2-2ab+b^2 \\ | &= a^2+2ab+b^2+a^2-2ab+b^2 \\ | ||
Version vom 08:22, 22. Okt. 2008
We expand the two quadratics using the squaring rule, and then sum the result
| \displaystyle \begin{align}
(a+b)^2+(a-b)^2 &= (a^2+2ab+b^2)+(a^2-2ab+b^2)\\ &= a^2+2ab+b^2+a^2-2ab+b^2 \\ &= a^2+a^2+2ab-2ab+b^2+b^2\\ &= 2a^2 +2b^2\,\textrm{.} \end{align} |
