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

1 Answer
Alan P.
Nov 7, 2016

5x^4y+10x^3y^2+35x^2y

Explanation:

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

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

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