factorize 9x^2-4 — step-by-step solution

Let's factorize in

ℝ

9 x^{2} - 4

For

9 x^{2} - 4

, we recognize a difference of two squares:

{(3 x)}^{2} - 2^{2}

. Apply

a^{2} - b^{2} = (a - b) \cdot (a + b)

, with

a = 3 x

and

b = 2

You can factorize the expression:

9 x^{2} - 4

into:

(3 x - 2) \cdot (3 x + 2)

▶Factored expression:

(3 x + 2) \cdot (3 x - 2)