precalc!!!!!
posted by ALISON on .
I have to prove this: (a^3b^3)= (ab)(a^2+ab+b^2)
How do I use long division to get (a^2+ab+b^2).
I'm given.....
1). (a^3b^3)/ (ab)
I cant get that answer. Help?

( a  b ) * ( a ^ 2 + a * b + b ^ 2 ) =
a * a ^ 2 + a * a * b + a * b ^ 2  b * a ^ 2  b * a * b  b * b ^ 2 =
a ^ 3 + a ^ 2 * b + a * b ^ 2  a ^ 2 * b  a * b ^ 2  b ^ 3 =
a ^ 3  b ^ 3