Answer:
- 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
Step-by-step explanation:
Given
(3x² - 4x - 5)(- 2x² + 2x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis
= - 6[tex]x^{4}[/tex] + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms
= - 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10