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How do you multiply $5 x^{2} y (x^{2} + 2 x y + 7)$ $5x^2y(x^2+2xy+7)$ ?

1 Answer

Nov 7, 2016

$5 x^{4} y + 10 x^{3} y^{2} + 35 x^{2} y$ $5x^4y+10x^3y^2+35x^2y$

Explanation:

Using the distributive property:
$XXX 5 x^{2} y (x^{2} + 2 x y + 7)$ $color(white)("XXX")color(red)(5x^2y)(color(blue)(x^2+2xy+7))$

$XXX = 5 x^{2} y \cdot x^{2} + 5 x^{2} y \cdot 2 x y + 5 x^{2} y \cdot 7$ $color(white)("XXX")=color(red)(5x^2y) * color(blue)(x^2) + color(red)(5x^2y) * color(blue)(2xy) +color(red)(5x^2y) * color(blue)7$

$XXX = 5 x^{4} y XXx + 10 x^{3} y^{2} XX + 35 x^{2} y$ $color(white)("XXX")=5x^4ycolor(white)("XXx")+10x^3y^2color(white)("XX")+35x^2y$

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