Question

Factor Perfect Square Trinomials In the following exercises, factor.

$64r^2-176rs+121s^2$

Short answer

On factorization we get${(8r-11s)}^2$

Step-by-step solution

Step 1. Giveninformation

An expression is given as$64r^2-176rs+121s^2$

Step 2. Factorization

Use square property $(a-b{)}^2=a^2+b^2-2ab$

First convert the expression into the standard form,

$$\begin{gathered} 64r^2-176rs+121s^2 \\ ={\left(8r\right)}^2-2\times 8r\times 11s+{\left(11s\right)}^2\Rightarrow {(8r-11s)}^2 \end{gathered}$$