WAEC - Mathematics (2013 - No. 9)
Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)
\(\frac{x - y}{3}\)
x + y
\(\frac{3}{x - y}\)
x - y
Explanation
\(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)
\(\frac{(x + y)(x - y)}{(x + y)(x + y)}\div \frac{(x - y)(x - y)}{3(x + y)}\)
= \(\frac{3}{x - y}\)
\(\frac{(x + y)(x - y)}{(x + y)(x + y)}\div \frac{(x - y)(x - y)}{3(x + y)}\)
= \(\frac{3}{x - y}\)
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