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

1 Answer
May 20, 2018

#-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!