Question

Factor the expression below x^2 + 12x + 36

Answer 1

(x+6)(x+6)

Explanation:

Answer 2

(x + 6)²

Explanation:

This is a perfect square of the form

(x + a)² = x² + 2ax + a²

here a² = 36 ⇒ a = 6 and 2ax = 2 × 6x = 12x

Hence

x² + 12x + 36 = (x + 6)²