Solution 2.1:1c

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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
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\begin{align}
 +
-x^2 (4-y^2) &= (-1)x^2(4-y^2) \\
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&= (-1)x^2 \cdot 4 - (-1)x^2 \cdot y^2 \\
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&= -4x^2 +x^2 y^2.
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\end{align}
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</math>
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Revision as of 08:48, 13 August 2008

Bild:2_1_1c.gif

The factor \displaystyle -x^2 can be written as \displaystyle (-1)x^2 and both factors can be multiplied into the bracket:

\displaystyle \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}


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