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

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

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Answer 1 · 2015-06-26T14:07:14

$= - 3 x^{5} y - 12 x^{3} . y^{2} + 15 x^{2} y^{3}$ $= color(blue)(-3x^5y - 12x^3.y^2 + 15x^2y^3$

Explanation:

$3 x y (- x^{4} - 4 x^{2} y + 5 x y^{2})$ $color(blue)(3xy)(-x^4-4x^2y+5xy^2)$
$= 3 x y . (- x^{4}) + 3 x y . (- 4 x^{2} y) + 3 x y . (5 x y^{2})$ $=color(blue)(3xy) . (-x^4) + color(blue)(3xy) . (-4x^2y) + color(blue)(3xy) . (5xy^2)$

$= - 3 x^{5} y - 12 x^{3} . y^{2} + 15 x^{2} y^{3}$ $= color(blue)(-3x^5y - 12x^3.y^2 + 15x^2y^3$

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

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How do you multiply 3xy(−x4−4x2y+5xy2)3xy(-x^4-4x^2 y+5xy^2) ?

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Explanation:

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