How do you multiply #3a^3b^2(-a^3b - a^2b^2)#?

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Answer 1 · 2015-08-21T07:17:58

#=color(blue)(-3a^5b^3(a-b)#

#color(blue)(3a^3b^2)(−a^3b−a^2b^2)#

#=(color(blue)(3a^3b^2)) * (−a^3b) + (color(blue)(3a^3b^2) ) *(−a^2b^2)#

#=-3a^3a^3b^2b −3a^3a^2b^2b^2#

By property #color(blue)(a^m*a^n = a^(m+n)#

Applying the same to exponents of #a# and #b#

#=-3a^((3+3))b^((2+1)) −3a^((3+2))b^((2+2))#

#=-3a^6b^3 −3a^5b^4#

#=color(blue)(-3a^5b^3(a-b)#