When #x^2 +3x-4# is subtracted from #x^ 3+3x^2 -2x# what is the difference?

1 Answer
Nov 25, 2016

#x^3+2x^2-5x+4#

Explanation:

To find the difference, write the equation as:

#(x^3+3x^2-2x)-(x^2+3x-4)#

Open the brackets, changing the sign according to the norm (multiplication of two negatives gives a positive, and of a negative and a positive gives a negative).

#x^3+3x^2-2x-x^2-3x+4#

Group the like terms.

#x^3+3x^2-x^2-2x-3x+4#

Combine like terms, taking note of the appropriate signs.

#x^3+2x^2-5x+4#