factor (x^2-9)^2 — step-by-step solution

Let's factor in

ℝ

{(x^{2} - 9)}^{2}

Let's factorize in

ℝ

x^{2} - 9

For

x^{2} - 9

, we recognize a difference of two squares:

x^{2} - 3^{2}

. Apply

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

, with

a = x

and

b = 3

Factors identified:

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

▶Factored expression:

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