Chapter 8.7, Problem 11P

Factor each expression.

$11.25r^2-80r+64$

To determine

To factor the given equation.

Answer to Problem 11P

  $25r^2-80r+64={\left(5r-8\right)}^2$

Explanation of Solution

Given:

  $25r^2-80r+64$

Calculation: The solution can be obtained as:

  $\begin{array}{l}25r^2-80r+64=25r^2-40r-40r+64\\ =5r\left(5r-8\right)-8\left(5r-8\right)\\ =\left(5r-8\right)\left(5r-8\right)\\ ={\left(5r-8\right)}^2\end{array}$