Question : Simplify the expression:
$\frac{a+b}{a-b} \div \frac{(a+b)^2}{\left(a^2-b^2\right)}$
Option 1: $–1$
Option 2: $(a + b)$
Option 3: $0$
Option 4: $1$
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Correct Answer: $1$
Solution :
Given, $\frac{a+b}{a-b} \div \frac{(a+b)^2}{\left(a^2-b^2\right)}$
$=\frac{(a+b)(a^2-b^2)}{(a-b)(a+b)^2}$
$=\frac{(a+b)(a+b)(a-b)}{(a-b)(a+b)^2}$
$=1$
Hence, the correct answer is $1$.
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