Question

How do you simplify `(x ^ { 3} + 3x - 5x ^ { 2} ) - ( 3x + 2x ^ { 3} - 2x ^ { 2} )`?

Answer 1

See a solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

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

Next, group like terms:

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

Now, combine like terms:

`1x^3 - 2x^3 - 5x^2 + 2x^2 + 3x - 3x`

`(1 - 2)x^3 + (-5 + 2)x^2 + (3 - 3)x`

`-1x^3 + (-3)x^2 + 0x`

`-x^3 - 3x^2`

Or

#x^2(-x - 3)

Or

`-x^2(x + 3)`