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

(6 + x) (6 + x) = (6 + x) ²

Step-by-step 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