what is the product?\n(5r - 4)(r² - 6r + 4)\n5r³ - 34r² + 44r - 16\n5r³ - 4r² + 14r - 16\n5r³ - 6r - 16\n5r³…

what is the product?\n(5r - 4)(r² - 6r + 4)\n5r³ - 34r² + 44r - 16\n5r³ - 4r² + 14r - 16\n5r³ - 6r - 16\n5r³ + 10r - 16
Answer
Answer:
A. $5r^{3}-34r^{2}+44r - 16$
Explanation:
Step1: Distribute $5r$
$5r(r^{2}-6r + 4)=5r^{3}-30r^{2}+20r$
Step2: Distribute $-4$
$-4(r^{2}-6r + 4)=-4r^{2}+24r-16$
Step3: Combine like - terms
$(5r^{3}-30r^{2}+20r)+(-4r^{2}+24r - 16)=5r^{3}+(-30r^{2}-4r^{2})+(20r + 24r)-16=5r^{3}-34r^{2}+44r-16$