SOLUTION: Factor the following polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms: 3a^3 + 3ab^2 + 2a^2b + 2b^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the following polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms: 3a^3 + 3ab^2 + 2a^2b + 2b^3       Log On


   

Question 63904: Factor the following polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms:
3a^3 + 3ab^2 + 2a^2b + 2b^3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3a^3 + 3ab^2 + 2a^2b + 2b^3
=3a(a^2+b^2)+2b(a^2+b^2)
=(a^2+b^2)(3a+2b)
Cheers,
Stan H.