Question

Factor the expression. d2 − 4d + 4

Answer 1

(d - 2)²

Explanation:

d² - 4d + 4 ← is a perfect square of the form

(x ± a )² = x² ± 2ax + a²

compare coefficients of like terms

- 2a = - 4 ⇒ a = 2 and a² = 4, hence

d² - 4d + 4 = (d - 2)²

Answer 2

Rewrite it in the form a^2 - 2ab + b^2, where a = d and b = 2

d^2 - 2(d)(2) + 2^2

Use the Square of Difference: (a - b)^2 = a^2 - 2ab + b^2

(d - 2)^2