Chapter 8, Problem 73SGR

To determine

To factorize the given polynomial

Answer to Problem 73SGR

  $(3x-5)(3x+5)$

Explanation of Solution

Given:

Polynomial: $9x^2-25$

Formula used:

  $a^2-b^2=(a-b)(a+b)$

Calculation:

Consider the given polynomial,

  $\begin{array}{l}\Rightarrow 9x^2-25\\ $ \Rightarrow {(3x)}^2-5^2$\Rightarrow (3x-5)(3x+5)[\because a^2-b^2=(a-b)(a+b)]\end{array}$

Conclusion:

Therefore, the factors of the polynomial are $(3x-5)(3x+5).$