# How do you combine like terms in (4x ^ { 4} y ^ { 2} - 9x ^ { 3} y + 3y ) - ( 11x ^ { 4} y ^ { 2} + x ^ { 3} y - 8y + 4x )?

Mar 4, 2017

$- 7 {x}^{4} {y}^{2} - 10 {x}^{3} y + 11 y - 4 x$

#### Explanation:

First Identify like terms

$4 {x}^{4} {y}^{2}$ and $11 {x}^{4} {y}^{2}$

$- 9 {x}^{3} y$ and ${x}^{3} y$

$3 y$ and $- 8 y$

And $- 4 x$ has no like terms so we just leave it alone

Now we just subtract each like term

$4 {x}^{4} {y}^{2} - 11 {x}^{4} {y}^{2} = - 7 {x}^{4} {y}^{2}$

$- 9 {x}^{3} y - {x}^{3} y = - 10 {x}^{3} y$

$3 y - \left(- 8 y\right) = 11 y$

And $- 4 x$ is left over

Now just put everything together to get:

$- 7 {x}^{4} {y}^{2} - 10 {x}^{3} y + 11 y - 4 x$