Question

Multiply:
(2x²y² − 5xy²) by (x² − y²)

Answer 1

To multiply, we will use distributive law as follows:

$$\begin{gathered} \left(2x^2{y}^2-5x{y}^2\right)\left(x^2-y^2\right) \\ =2x^2{y}^2\left(x^2-y^2\right)-5x{y}^2\left(x^2-y^2\right) \\ =2x^4{y}^2-2x^2{y}^4-5x^3{y}^2+5x{y}^4 \end{gathered}$$

Thus, the answer is $2x^4{y}^2-2x^2{y}^4-5x^3{y}^2+5x{y}^4$.