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

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

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