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Solution 2.1:1c

From Förberedande kurs i matematik 1

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The factor <math> -x^2 </math> can be written as <math>(-1)x^2 </math> and both factors can be multiplied into the bracket:
The factor <math> -x^2 </math> can be written as <math>(-1)x^2 </math> and both factors can be multiplied into the bracket:
-
:<math> </math>
+
<math>
 +
\qquad
 +
\begin{align}
 +
-x^2 (4-y^2) &= (-1)x^2(4-y^2) \\
 +
&= (-1)x^2 \cdot 4 - (-1)x^2 \cdot y^2 \\
 +
&= -4x^2 +x^2 y^2.
 +
\end{align}
 +
</math>
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Revision as of 08:48, 13 August 2008

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The factor −x2 can be written as (−1)x2 and both factors can be multiplied into the bracket:

−x2(4−y2)=(−1)x2(4−y2)=(−1)x24−(−1)x2y2=−4x2+x2y2


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