Chapter 0.3, Problem 24E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 24E

The factor of polynomial $9a^2-49b^2$ is $\left(3a+7b\right)\left(3a-7b\right)$ .

Explanation of Solution

Given information:

Polynomial is given as $9a^2-49b^2$

Factorizing the given polynomial,

  $\begin{array}{c}9a^2-49b^2={\left(3a\right)}^2-{\left(7b\right)}^2\\ {\left(3a\right)}^2-{\left(7b\right)}^2=\left(3a+7b\right)\left(3a-7b\right)\end{array}$

So,

After factorizing $\left(3a+7b\right)\left(3a-7b\right)$ .