Chapter 8.7, Problem 30PPE

To determine

To factor the expression $4p^2-49$ .

Answer to Problem 30PPE

  $4p^2-49=\left(2p-7\right)\left(2p+7\right)$

Explanation of Solution

Given:

  $4p^2-49$

Concept used:

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

Calculation:

  $\begin{array}{l}4p^2-49={\left(2p\right)}^2-7^2\\ =\left(2p-7\right)\left(2p+7\right)\end{array}$