SOLUTION: Factor each plynomial completely by factoring out any common factors and then factor by gouping. Do not combine like terms. 3a^3+3ab^2 +2a^2 b + 2b^3 I need some help to unde

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each plynomial completely by factoring out any common factors and then factor by gouping. Do not combine like terms. 3a^3+3ab^2 +2a^2 b + 2b^3 I need some help to unde      Log On


   

Question 70647This question is from textbook Beginning Algebra
: Factor each plynomial completely by factoring out any common factors and then factor by gouping. Do not combine like terms.
3a^3+3ab^2 +2a^2 b + 2b^3
I need some help to understand this problem. Thanks This question is from textbook Beginning Algebra

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
3a%5E3%2B3ab%5E2+%2B2a%5E2%2Ab+%2B+2b%5E3
Look for any common factors in the first two terms
3a%28a%5E2%2Bb%5E2%29+%2B2a%5E2%2Ab+%2B+2b%5E3
Look for any common factors in the last two terms
3a%28a%5E2%2Bb%5E2%29+%2B2b%28a%5E2+%2B+b%5E2%29
Now you have a common term of a%5E2%2Bb%5E2so take that out as a common factor.
%28a%5E2%2Bb%5E2%29+%283a%2B2b%29