Question : Simplify the given expression $\frac{(x^3-y^3)(x+y)}{x^2+x y+y^2}$.
Option 1: $x - y$
Option 2: $x^2-y^2$
Option 3: $x + y$
Option 4: $x^2+y^2$
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Correct Answer: $x^2-y^2$
Solution :
$\frac{(x^3-y^3)(x+y)}{x^2+x y+y^2}$
= $\frac{(x-y)(x^2+x y+y^2)(x+y)}{x^2+x y+y^2}$
= $(x-y)(x+y)$
= $x^2-y^2$
Hence, the correct answer is $x^2-y^2$.
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