# How do you multiply (x^3+2x^2)(7x+4)?

Apr 20, 2018

$7 {x}^{4} + 18 {x}^{3} + 8 {x}^{2}$

#### Explanation:

Multiply each term:

${x}^{3} \times 7 x = 7 {x}^{4}$

${x}^{3} \times 4 = 4 {x}^{3}$

$2 {x}^{2} \times 7 x = 14 {x}^{3}$

$2 {x}^{2} \times 4 = 8 {x}^{2}$

Collect like terms:

$7 {x}^{4} + 4 {x}^{3} + 14 {x}^{3} + 8 {x}^{2} \to 7 {x}^{4} + 18 {x}^{3} + 8 {x}^{2}$

This is our final answers as it cannot be simplified further