How do you simplify ( 5x^3-10x+7)-(6x^3-20x+10) (5x310x+7)(6x320x+10)?

1 Answer
May 20, 2018

-x^3 + 10x - 3x3+10x3

Explanation:

(5x^3-10x+7)-(6x^3-20x+10)(5x310x+7)(6x320x+10)

First, distributive the negative sign to everything in the parenthesis:
(5x^3-10x+7)-6x^3+20x-10(5x310x+7)6x3+20x10

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!