SOLUTION: Tutor how do I factor this problem? 18{{{a^3}}}– 24{{{a^2}}}b + 15a{{{b^2}}}– 20{{{b^3}}} Thanks for your help!!!

Algebra ->  Equations -> SOLUTION: Tutor how do I factor this problem? 18{{{a^3}}}– 24{{{a^2}}}b + 15a{{{b^2}}}– 20{{{b^3}}} Thanks for your help!!!      Log On


   



Question 86316: Tutor how do I factor this problem?
18a%5E3– 24a%5E2b + 15ab%5E2– 20b%5E3
Thanks for your help!!!

Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
Try pairing terms:
18a%5E3– 24a%5E2b + 15ab%5E2– 20b%5E3 = 6a%5E2(3a - 4b) + 5b%5E2(3a - 4b)
Now, factor out the (3a - 4b) as a common binomial factor:
(3a - 4b)(6a%5E2 + 5b%5E2)