Answer:
[tex]x^{4}[/tex] + x³ - 10x² + 20x
Step-by-step 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
= [tex]x^{4}[/tex] + 5x³ + 6x² - 4x³ - 20x² - 24 + 4x² + 20x + 24 ← collect like terms
= [tex]x^{4}[/tex] + x³ - 10x² + 20x
