# How do you simplify (5n ^ { 2} - n ^ { 4} + 7n ^ { 3} ) - ( n ^ { 3} - 6n ^ { 4} - 2n ^ { 2} )?

Jun 24, 2017

See below.

#### Explanation:

We combine like terms (terms where the $x$-exponent are the same)

$\left(5 {n}^{2} - {n}^{4} + 7 {n}^{3}\right) - \left({n}^{3} - 6 {n}^{4} - 2 {n}^{2}\right)$

The ${n}^{2}$'s combine, the ${n}^{4}$'s combine, etc.

$5 {n}^{2} - {n}^{4} + 7 {n}^{3} - {n}^{3} + 6 {n}^{4} + 2 {n}^{2}$

$5 {n}^{2} + 2 {n}^{2} - {n}^{4} + 6 {n}^{4} + 7 {n}^{3} - {n}^{3}$

$7 {n}^{2} + 5 {n}^{4} + 6 {n}^{3}$

$= 7 {n}^{2} + 6 {n}^{3} + 5 {n}^{4}$