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)

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