factorize 3x^2-3 — step-by-step solution

Let's factor in

ℝ

3 x^{2} - 3

We factor out

3

, the greatest common divisor of the coefficients:

3 x^{2} - 3

3 \cdot (x^{2} - 1)

For

x^{2} - 1

, we recognize a difference of two squares:

x^{2} - 1^{2}

. Apply

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

, with

a = x

and

b = 1

Factors found:

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

▶Factored expression:

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