How do you multiply 4xy^2(3x^2-5xy+6y^2)?

1 Answer
Nov 13, 2017

12x^3y^2-20x^2y^3+24x^2y^4

Explanation:

First, we need to know that
a^n*a^m=a^(n+m)

For this question, we can simply expand the bracket.
4xy^2(3x^2-5xy+6y^2)

=3x^2*4xy^2-5xy*4xy^2+6y^2*4xy^2

=3*4*x^2*x*y^2-5*4*x*x*y*y^2+6*4*x^2*y^2*y^2

=12x^(2+1)y^2-20x^(1+1)y^(1+2)+24x^2y^(2+2)

=12x^3y^2-20x^2y^3+24x^2y^4

Here is the answer :)