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

1 Answer
Jul 26, 2017

(x-5y)^2=x^2-10xy+25y^2

Explanation:

Given:

(x-5y)^2

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

(x-5y)(x-5y)

![http://www.mathcaptain.com/algebra/http://foil-method.html](https://useruploads.socratic.org/nmRvm381QHmDo9NUX71P_foil-method.JPG)

x^2-5xy-5xy+25y^2

Simplify.

x^2-10xy+25y^2