# How do you find the product (x-5y)^2?

Jul 26, 2017

${\left(x - 5 y\right)}^{2} = {x}^{2} - 10 x y + 25 {y}^{2}$

#### Explanation:

Given:

${\left(x - 5 y\right)}^{2}$

Since the binomial is squared, multiply the binomial by itself using the FOIL method.

$\left(x - 5 y\right) \left(x - 5 y\right)$

${x}^{2} - 5 x y - 5 x y + 25 {y}^{2}$

Simplify.

${x}^{2} - 10 x y + 25 {y}^{2}$