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 | + | |
- | <math> | + | {{Displayed math||<math>\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+2ab+b^2+a^2-2ab+b^2 \\ | ||
&= a^2+a^2+2ab-2ab+b^2+b^2\\ | &= a^2+a^2+2ab-2ab+b^2+b^2\\ | ||
- | &= 2a^2 +2b^2 | + | &= 2a^2 +2b^2\,\textrm{.} |
- | \end{align} | + | \end{align}</math>}} |
- | </math> | + | |
- | + | ||
- | + |
Version vom 08:24, 23. Sep. 2008
We expand the two quadratics using the squaring rule, and then sum the result