factorize 4x^2-1 — step-by-step solution

Let's factorize in

ℝ

4 x^{2} - 1

For

4 x^{2} - 1

, we recognize a difference of two squares:

{(2 x)}^{2} - 1^{2}

. Apply

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

, with

a = 2 x

and

b = 1

You can factor:

4 x^{2} - 1

into:

(2 x - 1) \cdot (2 x + 1)

▶Factored expression:

(2 x + 1) \cdot (2 x - 1)