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

1 Answer
Nov 7, 2016

Answer:

#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#