## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 30

#### Answer

$x^2-10x+25$

#### Work Step by Step

Using the special product on squaring binomials, $(a+b)^2=a^2+2(a)(b)+b^2$, the given expression simplifies to \begin{align*} & (x-5)^2 \\\\&= x^2+2(x)(-5)+(-5)^2 \\\\&= x^2-10x+25 .\end{align*}

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