could someone help me figure out this like term problem

Question

Perform the following additions and/or subtractions:
(5x²+6x−6) −(4x²+2x−2)+(3x²+8x−4)

Answer 1

We are given the following expressions

(5x²+6x−6) −(4x²+2x−2)+(3x²+8x−4)

 

Step 1 is to collect the like terms with their signs

5x² - 4x² + 3x², then 6x - (+2x) + 8x, then -6 - (-2) + (-4)

 

 which becomes 4x², then 6x - 2x + 8x, and -6 +2 - 4

 

combining, we get 4x² + 12x - 8

 

finally, 4(x² + 3x - 2)