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Question
Divide:
x4 − y4 by x2 − y2
Solution
\[ \frac{x^4 - y^4}{x^2 - y^2}\]
\[ = \frac{( x^2 )^2 - ( y^2 )^2}{( x^2 - y^2 )}\]
\[ = \frac{( x^2 + y^2 )( x^2 - y^2 )}{( x^2 - y^2 )}\]
\[ = x^2 + y^2\]
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