Question

question 10 of 25
what is the factorization of the polynomial below?
$4x^2 - 25$

a. $(2x - 5)(2x - 5)$
b. $(2x + 5)(2x - 5)$
c. $(4x - 5)(x - 5)$
d. $(4x + 5)(x - 5)$

Explanation:

Step1: Identify difference of squares

$4x^2 - 25 = (2x)^2 - 5^2$

Step2: Apply difference of squares formula

$a^2 - b^2 = (a+b)(a-b)$, so $(2x)^2 -5^2=(2x+5)(2x-5)$

Answer:

B. (2x+5)(2x-5)