Question

How do you simplify `( 5x^3-10x+7)-(6x^3-20x+10)`?

Answer 1

`-x^3 + 10x - 3`

Explanation:

`(5x^3-10x+7)-(6x^3-20x+10)`

First, distributive the negative sign to everything in the parenthesis:
`(5x^3-10x+7)-6x^3+20x-10`

Now color-code the like terms:
`color(red)(5x^3) quadcolor(green)(-quad10x) quadcolor(blue)(+quad7) quadcolor(red)(-quad6x^3) quadcolor(green)(+quad20x) quadcolor(blue)(-quad10)`

Combine like terms:
`-x^3 + 10x - 3`

Hope this helps!