How do you simplify 7xy (x^2 + y) - 11 xy^2 (x^2 -1)7xy(x2+y)11xy2(x21)?

1 Answer
Jul 16, 2015

7x^3y-11x^3y^2+18xy^2=xy(7x^2y-11x^2y+18y^2)7x3y11x3y2+18xy2=xy(7x2y11x2y+18y2)

Explanation:

First, distribute the outer terms into the brackets:

7xy(x^2+y)-11xy^2(x^2-1)7xy(x2+y)11xy2(x21)
=(7xy*x^2+7xy*y)+(-11xy^2*x^2+11xy^2)(7xyx2+7xyy)+(11xy2x2+11xy2)

Simplify using exponent rules

=7x^3y+7xy^2-11x^3y^2+11xy^2=7x3y+7xy211x3y2+11xy2

Add like terms

=7x^3y-11x^3y^2+18xy^2=7x3y11x3y2+18xy2

If you want, you can factor out an xyxy to simplify further

=xy(7x^2y-11x^2y+18y^2)=xy(7x2y11x2y+18y2)