Question

Express X²+12x in the firm of(x+a)²+b

Answer 1

(x + 6)² - 36

Explanation:

given

x² + 12x

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 12x

= x² + 2(6)x + 36 - 36

= (x + 6)² - 36 ← in the form (x + a)² + b

with a = 6 and b = - 36