Chapter 0, Problem 19PO

To determine

To evaluate: the factors of the given polynomial completely.

Answer to Problem 19PO

The factors of polynomial $16x^2-25y^2$ are $\left(4x-5y\right)\left(4x+5y\right)$ .

Explanation of Solution

Given information :

Polynomial is given as $16x^2-25y^2$ .

Evaluating the factors completely,

  $\begin{array}{c}16x^2-25y^2={\left(4x\right)}^2-{\left(5y\right)}^2\\ {\left(4x\right)}^2-{\left(5y\right)}^2=\left(4x-5y\right)\left(4x+5y\right)\end{array}$

So, the factors of polynomial $16x^2-25y^2$ are $\left(4x-5y\right)\left(4x+5y\right)$ .