What is the expression in factored form? 225x^2 - 144 a. 9(5x+4)^2 b. 9(5x-4)^2 c. 9(4x+5)(4x-5) d. 9(5x+4)(5x-4)

Step-by-step explanation:

The given expression is

We rewrite to obtain;

Recall that;

We apply the difference of two squares formula to obtain;

We factor further to obtain;

This will give us;

Ans:

Option d. 9(5x+4)(5x-4)

Step-by-step explanation:

We are given an expression 225x² - 144 and we have to write it in factored form

225x² - 144

taking 9 common in the above expression

9(25x² - 16)

25x² can be written as (5x)² and 16 as 4²

9((5x)² - 4²)

(5x)² - 4² = (5x+4)(5x-4)

using formula a² - b² = (a+b)(a-b)

9(5x+4)(5x-4) is the solution