How do you simplify #5xy (x-y) - 6xy^2 (x+y) + 3xy (x-y) - 4xy^2 (x+y)#?

1 Answer
Mar 25, 2017

Answer:

#2xy(4x-4y-5xy-5y^2)#

Explanation:

#5xy(x-y)-6xy^2(x+y)+3xy(x-y)-4xy^2(x+y)#

#:.=color(red)(5x^2y)color(blue)(-5xy^2)color(green)(-6x^2y^2)color(purple)(-6xy^3)color(red)(+3x^2y)color(blue)(-3xy^2)color(green)(-4x^2y^2)color(purple)(-4xy^3)#

#:.=color(red)(8x^2y)color(blue)(-8xy^2)color(green)(-10x^2y^2)color(purple)(-10xy^3)#

#:.=color(green)(2xy(4x-4y-5xy-5y^2)#