Answer:
- 2[tex]x^{6}[/tex] + 7[tex]x^{4}[/tex] + 3x³ - 3x² + 11x + 20
Step-by-step explanation:
Given
(- 2x³ + x - 5)(x³ - 3x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
- 2x³(x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4) ← distribute the 3 parenthesis
= - 2[tex]x^{6}[/tex] + 6[tex]x^{4}[/tex] + 8x³ + [tex]x^{4}[/tex] - 3x² - 4x - 5x³ + 15x + 20 ← collect like terms
= - 2[tex]x^{6}[/tex] +7[tex]x^{4}[/tex] + 3x³ - 3x² + 11x + 20
