Question

How do you simplify `(n + 6n^2 — 7n^3 + 7n^4) - (3n^4 + 3n) + (8n^3 - 2n^2 - 5n+7n^4)`?

Answer 1

`11n^4+n^3+4n^2-7n`

Explanation:

First, you eliminate parenthesis by caring to change signs if necessary:

`uln+ulul6n^2ululul(-7)n^3+ulululul7n^4ulululul(-3)n^4ul(-3n)+ululul8n^3ulul(-2n)^2ul(-5n)+ulululul7n^4`

then you sum the similar terms to obtain

`(7-3+7)n^4+(-7+8)n^3+(6-2)n^2+(1-3-5)n`

`11n^4+n^3+4n^2-7n`