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Solution 2.1:1c

From Förberedande kurs i matematik 1

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Current revision (07:43, 23 September 2008) (edit) (undo)
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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
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<center> [[Bild:2_1_1c.gif]] </center>
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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:
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<math>
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{{Displayed math||<math>\begin{align}
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\qquad
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-x^2 (4-y^2) &= (-1)x^2(4-y^2)\\[3pt]
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\begin{align}
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&= (-1)x^2 \cdot 4 - (-1)x^2 \cdot y^2\\[3pt]
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-x^2 (4-y^2) &= (-1)x^2(4-y^2) \\
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&= -4x^2 +x^2 y^2\,\textrm{.}
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&= (-1)x^2 \cdot 4 - (-1)x^2 \cdot y^2 \\
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\end{align}</math>}}
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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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Current revision

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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