Question

Factor as the product of two binomials. 36+12x+x^2=

Answer 1

(6 + x)(6 + x) = (6 + x)²

Explanation:

Given

36 + 12x + x²

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)

The factors are + 6 and + 6, since

6 × 6 = 36 and 6 + 6 = 12, thus

36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²