How do you simplify #-3a^2b(9a^2-4b^2)#?

1 Answer
Oct 30, 2014

In order to simplify #-3a^2b(9a^2-4b^2)# you would use the distributive property and multiply #-3a^2b# by each of the terms in the parenthesis.
#-3a^2b(9a^2)# - #-3a^2b(4b^2)#

#(a^2)(a^2)# = (a)(a)(a)(a) = #a^4# #(b)(b^2)# = (b)(b)(b) = #b^3#

#-27a^4b - (-12a^2b^3)#

Simplify the signs.

#-27a^4b + 12a^2b^3#