Question

How do you combine like terms for `-x ^ { 5} - x ^ { 2} + 3x - 1- ( 2x ^ { 5} + x ^ { 3} + x ^ { 2} + 5x - 4)`?

Answer 1

`-3x^5 - x^3 -2x^2 - 2x + 3`

Explanation:

Step 1) Multiple the terms in the parenthesis by -1
Step 2) Group and combine like terms

`-x^5 - x^2 + 3x - 1 - 2x^5 - x^3 - x^2 - 5x + 4 =>`

`-x^5 - 2x^5 - x^3 - x^2 - x^2 + 3x - 5x - 1 + 4 =>`

`(-1 - 2)x^5 - x^3 + (-1 - 1) x^2 + (3 - 5)x - 1 + 4 =>`

`-3x^5 - x^3 -2x^2 - 2x + 3`