What is the product? (5r - 4) (r2 - 6r + 4)

(5r - 4) (r² - 6r + 4)

distributive property of multiplication.

5r (r² - 6r + 4) - 4 (r² - 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

group like terms and simplify.

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

(5r - 4) (r2 - 6r + 4)

= (5r + - 4) (r2 + - 6r + 4)

= (5r) (r2) + (5r) ( - 6r) + (5r) (4) + (-4) (r2) + (-4) ( - 6r) + (-4) (4)

= 5 r3 - 30 r2 + 20r - 4 r2 + 24r - 16

= 5 r3 - 34 r2 + 44r - 16