Answer:
45x³ - 83x² + 21x + 16
Step-by-step explanation:
(5x - 7)(9x² - 4x - 8)
Apply the distributive property:
(5x · 9x²) + (5x · (-4x)) + (5x · (-8)) + ((-7) · 9x²) + ((-7) · (-4x)) + ((-7) · (-8))
Simplify:
45x³ - 20x² - 40 - 63x² +21x +56
Arrange like terms together:
45x³ - 20x² - 63x² +21x - 40 + 56
Simplify:
45x³ - 83x² + 21x + 16