Question
Find the following product:
$\left(x^2-y^2\right)(x+2 y)$
$\left(x^2-y^2\right)(x+2 y)$
✓
Answer
$\left(x^2-y^2\right)(x+2 y)$
$=x^2(x+2 y)-y^2(x+2 y)$
$=\left(x^2 \times x+x^2 \times 2 y\right)-\left(y^2 \times x+y^2 \times 2 y\right)$
$=x^3+2 x^2 y-x y^2-2 y^3$
$=x^2(x+2 y)-y^2(x+2 y)$
$=\left(x^2 \times x+x^2 \times 2 y\right)-\left(y^2 \times x+y^2 \times 2 y\right)$
$=x^3+2 x^2 y-x y^2-2 y^3$
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