Chapter 8.7, Problem 29PPE

To determine

To factor the expression $m^2-225$ .

Answer to Problem 29PPE

  $m^2-225=\left(m-15\right)\left(m+15\right)$

Explanation of Solution

Given:

  $m^2-225$

Concept used:

  $\left(a+b\right)\left(a-b\right)=a^2-b^2$

Calculation:

  $\begin{array}{l}{m}^2-225=m^2-{15}^2\\ =\left(m-15\right)\left(m+15\right)\end{array}$