Chapter 0.3, Problem 22E

To determine

To evaluate: the factors of polynomial.

Answer to Problem 22E

The factor of polynomial $25x^2-4y^2$ is $\left(5x+2y\right)\left(5x-2y\right)$ .

Explanation of Solution

Given information:

Polynomial is given as $25x^2-4y^2$

Factorizing the given polynomial,

  $\begin{array}{c}25x^2-4y^2={\left(5x\right)}^2-{\left(2y\right)}^2\\ {\left(5x\right)}^2-{\left(2y\right)}^2=\left(5x+2y\right)\left(5x-2y\right)\end{array}$

So,

After factorizing $\left(5x+2y\right)\left(5x-2y\right)$ .