Lösung 2.1:3b

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If we take out the factor 5, we see that the expression can be factorized using the conjugate rule
If we take out the factor 5, we see that the expression can be factorized using the conjugate rule
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{{Displayed math||<math>\begin{align}
+
{{Abgesetzte Formel||<math>\begin{align}
5x^2-20&=5(x^4-4)\\
5x^2-20&=5(x^4-4)\\
&= 5(x^2-2^2)\\
&= 5(x^2-2^2)\\
&= 5(x+2)(x-2)\,\textrm{.}
&= 5(x+2)(x-2)\,\textrm{.}
\end{align}</math>}}
\end{align}</math>}}

Version vom 08:22, 22. Okt. 2008

If we take out the factor 5, we see that the expression can be factorized using the conjugate rule

\displaystyle \begin{align}

5x^2-20&=5(x^4-4)\\ &= 5(x^2-2^2)\\ &= 5(x+2)(x-2)\,\textrm{.} \end{align}