Perform the following polynomial operations and simplify(-3a³b²)(-4a²b³)?

1 Answer
Feb 6, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

#(-3 xx -4)(a^3 xx a^2)(b^2 xx b^3) =>#

#12(a^3 xx a^2)(b^2 xx b^3)#

Now, use this rule of exponents to complete the simplification:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#12(a^color(red)(3) xx a^color(blue)(2))(b^color(red)(2) xx b^color(blue)(3)) =>#

#12a^(color(red)(3)+color(blue)(2))b^(color(red)(2)+color(blue)(3)) =>#

#12a^5b^5#