Question

Factorise : 9(a-2)² -16(a+2)². I need the answer to fast

Answer 1

Given Equation is 9(a - 2)^2 - 16(a + 2)^2

⇒ [3(a - 2)]^2 - [4(a + 2)]^2

We know that a^2 - b^2 = (a + b)(a - b)

⇒ [3(a - 2) + 4(a + 2)][3(a - 2) - 4(a + 2)]

⇒ (3a - 6 + 4a + 8)(3a - 6 - 4a - 8)

⇒ (7a + 2)(-a - 14)

⇒ -(7a + 2)(a + 14).

Hope it helps!