Question

xy(x³ − y³)

Answer 1

To find the product, we will use the distributive law in the following way:

\[xy\left( x^3 - y^3 \right)\]

\[ = xy \times x^3 - xy \times y^3 \]

\[ = \left( x \times x^3 \right) \times y - x \times \left( y \times y^3 \right)\]

\[ = x^{1 + 3} y - x y^{1 + 3} \]

\[ = x^4 y - x y^4\]

 Thus, the answer is  \[x^4 y - x y^4\].