# How do you multiply 4x^2y(-x^2-x+10)?

Feb 9, 2017

$- 4 {x}^{4} y - 4 {x}^{3} y + 40 {x}^{2} y$

#### Explanation:

Multiply each term in the bracket by $4 {x}^{2} y$

$\Rightarrow \textcolor{red}{4 {x}^{2} y} \left(- {x}^{2} - x + 10\right)$

$= \left(\textcolor{red}{4 {x}^{2} y} \times - {x}^{2}\right) + \left(\textcolor{red}{4 {x}^{2} y} \times - x\right) + \left(\textcolor{red}{4 {x}^{2} y \times 10}\right)$

$= - 4 {x}^{4} y + \left(- 4 {x}^{3} y\right) + 40 {x}^{2} y$

$= - 4 {x}^{4} y - 4 {x}^{3} y + 40 {x}^{2} y$