Question

What is `(-x^2+3x)-(5x+2x^2)`?

Answer 1

`-3x^2-2x`

Explanation:

Distribute the negative side to the right parentheses so the question becomes
`(-x^2+3x) (-5x-2x^2)` and then combine like terms:

`-x^2-2x^2= -3x^2`

`3x-5x= -2x`

`-3x^2-2x`

Answer 2

`-3x^2 - 2x`

Explanation:

To simplify this, we first have to distribute the negative sign:
`-(5x+2x^2)` means that you multiply everything inside the parenthesis to the negative sign, or `-1`.

So that becomes `-5x - 2x^2`

Let's put that back into the original expression:
`-x^2 + 3x - 5x - 2x^2`

Now let's color code the like terms so that we can combine them:
`color(red)(-x^2) quadcolor(blue)(+quad3x) quadcolor(blue)(-quad5x) quadcolor(red)(-quad2x^2)`

Combine like terms:
`-3x^2 - 2x`

Hope this helps!