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

1 Answer
Jun 24, 2017

See below.

Explanation:

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

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

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

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

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

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

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