How do you simplify (5n ^ { 2} - n ^ { 4} + 7n ^ { 3} ) - ( n ^ { 3} - 6n ^ { 4} - 2n ^ { 2} )(5n2n4+7n3)(n36n42n2)?

1 Answer
Jun 24, 2017

See below.

Explanation:

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

(5n ^ { 2} - n ^ { 4} + 7n ^ { 3} ) - ( n ^ { 3} - 6n ^ { 4} - 2n ^ { 2} )(5n2n4+7n3)(n36n42n2)

The n^2n2's combine, the n^4n4's combine, etc.

5n ^ { 2} - n ^ { 4} + 7n ^ { 3} - n ^ { 3} +6n ^ { 4} + 2n ^ { 2} 5n2n4+7n3n3+6n4+2n2

5n ^ { 2}+2n^2 - n ^ { 4} +6n^4+ 7n ^ { 3} - n ^ { 3} 5n2+2n2n4+6n4+7n3n3

7n ^ { 2} +5n^4+ 6n ^ { 3} 7n2+5n4+6n3

=7n ^ { 2} +6n ^ { 3} +5n^4=7n2+6n3+5n4