How do i solve this?

Question

(x+3)(x-2)^2?

Answer 1

(x+3)(x-2)²

Mathematics formulas: (a-b)²=a²-2ab+b²

(x+3)(x²-2(x)(2)+2²)

(x+3)(x²-4x+4)

FOIL method: the product of two binomials is the sum of the products of the First terms, the Outer terms, the Inner terms and the Last terms.

x(x²)+x(-4x)+x(4)+3(x²)+3(-4x)+3(4)

x³-4x²+4x+3x²-12x+12

x³-x²-8x+12

Therefore (x+3)(x-2)² = x³-x²-8x+12.

Answer 2

Considering the linear equation as (x + 3)(x - 2)² = 0.

Apply zero product property.

x + 3 = 0   and    (x - 2)² = 0

⇒x = - 3   and    x = 2.

The solutions are x = - 3 and x = 2.