Question

Which model represent the factors of 4x^2-9

Answer 1

(2x - 3)(2x + 3)

Explanation:

Given

4x² - 9

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

4x² = (2x)² ⇒ a = 2x

9 = 3² ⇒ b = 3, thus

4x² - 9 = (2x - 3)(2x + 3) ← in factored form