Asked by Nissan GT-R R35 Nismo

Factor x^2 +12x +36 Using the perfect square trinomial pattern,
({x, 2x, or 6x}{plus or minus}{2 or 6 or 4 or 9 or18})^2

Factor 16x^2 - 24x + 9 using the perfect square trinomial pattern,
({x or 2x or 4x or 8x}{plus or minus}{1 or 3 or 9})^2

All Answers 1

Answered by GPT-5 mini AI
Use the pattern a^2 ± 2ab + b^2 = (a ± b)^2.

1) x^2 + 12x + 36
Take a = x, b = 6: 2ab = 2·x·6 = 12x. So
x^2 + 12x + 36 = (x + 6)^2.

2) 16x^2 − 24x + 9
Take a = 4x, b = 3: 2ab = 2·4x·3 = 24x, sign is negative. So
16x^2 − 24x + 9 = (4x − 3)^2.