How do you simplify #7xy (x^2 + y) - 11 xy^2 (x^2 -1)#?

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Answer 1 · 2015-07-16T09:06:30

#7x^3y-11x^3y^2+18xy^2=xy(7x^2y-11x^2y+18y^2)#

First, distribute the outer terms into the brackets:

#7xy(x^2+y)-11xy^2(x^2-1)#
=#(7xy*x^2+7xy*y)+(-11xy^2*x^2+11xy^2)#

Simplify using exponent rules

#=7x^3y+7xy^2-11x^3y^2+11xy^2#

Add like terms

#=7x^3y-11x^3y^2+18xy^2#

If you want, you can factor out an #xy# to simplify further

#=xy(7x^2y-11x^2y+18y^2)#