Question

How do you simplify `(4x^3 +6x^2 -8x)- (x ^3-2x^2+ 12x)`?

Answer 1

See the entire solution process below:

Explanation:

To simplify we need to combine the like terms. First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

`4x^3 + 6x^2 - 8x - x^3 + 2x^2 - 12x`

Next, group like terms:

`4x^3 - x^3 + 6x^2 + 2x^2 - 8x - 12x`

Now, combine like terms:

`4x^3 - 1x^3 + 6x^2 + 2x^2 - 8x - 12x`

`(4 - 1)x^3 + (6 + 2)x^2 + (-8 - 12)x`

`3x^3 + 8x^2 + (-20)x`

`3x^3 + 8x^2 - 20x`