Question

What is the factor xsquared plus 4x plus 4​

Answer 1

(x + 2)²

Explanation:

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Comparing coefficients of like terms

4 = 2² ⇒ a = 2 and 2ax = (2 × 2)x = 4x

Hence

x² + 4x + 4 = (x + 2)²