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

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

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Answer 1 · 2017-03-25T09:47:53

$2 x y (4 x - 4 y - 5 x y - 5 y^{2})$ $2xy(4x-4y-5xy-5y^2)$

Explanation:

$5 x y (x - y) - 6 x y^{2} (x + y) + 3 x y (x - y) - 4 x y^{2} (x + y)$ $5xy(x-y)-6xy^2(x+y)+3xy(x-y)-4xy^2(x+y)$

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

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

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

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

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How do you simplify 5xy (x-y) - 6xy^2 (x+y) + 3xy (x-y) - 4xy^2 (x+y)5xy(x−y)−6xy2(x+y)+3xy(x−y)−4xy2(x+y)5xy (x-y) - 6xy^2 (x+y) + 3xy (x-y) - 4xy^2 (x+y)?

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