Question:
xy(x3 − y3)
Solution:
To find the product, we will use the distributive law in the following way:
$x y\left(x^{3}-y^{3}\right)$
$=x y \times x^{3}-x y \times y^{3}$
$=\left(x \times x^{3}\right) \times y-x \times\left(y \times y^{3}\right)$
$=x^{1+3} y-x y^{1+3}$
$=x^{4} y-x y^{4}$
Thus, the answer is $x^{4} y-x y^{4}$.
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