How do you simplify #x^2-(3x-5x^2)#?

1 Answer
KillerBunny
Feb 5, 2015

A minus sign put before a parenthesis means that you must change all the signs inside. So,
#-(3x-5x^2)=-3x+5x^2#
After all, the minus represents a moltiplication by #-1#
#-(3x-5x^2)=(-1)(3x-5x^2)#
So, we have
#x^2-(3x−5x^2)=x^2-3x+5x^2#, and adding the two terms involving #x^2#, we have #x^2-3x+5x^2=3x+6x^2#.

If you want, you can rewrite it as #3x(1+2x)# (I don't know which versions you consider as more simplified)

Related questions
See all questions in Expressions and the Distributive Property
Impact of this question
2066 views around the world
You can reuse this answer
Creative Commons License