# What is the product of (5r-4)(r^2-6r+4)?

Mar 23, 2018

$5 {r}^{3} - 34 {r}^{2} + 4 r - 16$
$5 {r}^{3} - 30 {r}^{2} - 20 r$ first step is to distribute $5 r$ over ${r}^{2} - 6 r + 4$
$- 4 {r}^{2} + 24 r - 16$ distribute $- 4$ over ${r}^{2} - 6 r + 4$
$5 {r}^{3} - 30 {r}^{2} - 20 r - 4 {r}^{2} + 24 r - 16$ combine the two
$5 {r}^{3} - 34 {r}^{2} + 4 r - 16$ combine like terms