Question

F(x)= (x-2)^2 (x+2)(x+3)

Answer 1

`x^(4)` + x³ - 10x² + 20x

Explanation:

expand (x - 2)² and (x + 2)(x + 3) using FOIL

= (x² - 4x + 4)(x² + 5x + 6)

multiply each term in the second factor by each term in the first factor

=
`x^(4)` + 5x³ + 6x² - 4x³ - 20x² - 24 + 4x² + 20x + 24 ← collect like terms

=
`x^(4)` + x³ - 10x² + 20x