what is the product? (5r - 4)(r² - 6r + 4) 5r³ - 34r² + 44r - 16 5r³ - 4r² + 14r - 16 5r³ - 6r - 16 5r³ +…

Explanation:

Step1: Use distributive property

$(5r - 4)(r^{2}-6r + 4)=5r(r^{2}-6r + 4)-4(r^{2}-6r + 4)$

Step2: Distribute 5r

$5r(r^{2}-6r + 4)=5r\times r^{2}-5r\times6r + 5r\times4=5r^{3}-30r^{2}+20r$

Step3: Distribute -4

$-4(r^{2}-6r + 4)=-4r^{2}+24r - 16$

Step4: Combine like - terms

$(5r^{3}-30r^{2}+20r)+(-4r^{2}+24r - 16)=5r^{3}+(-30r^{2}-4r^{2})+(20r + 24r)-16=5r^{3}-34r^{2}+44r - 16$

Answer:

$5r^{3}-34r^{2}+44r - 16$