How do you find the product of #(-9x^2-10y)^2#?

1 Answer
Alan P.
Jul 8, 2016

#(-9x^2-10y)^2=color(blue)(81x^4+180x^2y+100y^2)#

Explanation:

In general #(a+b)^2=a^2+2ab+b^2#

If #a=-9x^2# and #b=-10y#
then
#color(white)("XXX")a^2color(white)("XXX")=81x^4#
#color(white)("XXX")2abcolor(white)("XX")=180x^2y#
#color(white)("XXX")b^2color(white)("XXX")=underline(100y^2)#
#color(white)("XXXXXXXXXX")81x^4+180x^2y+100y^2#

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