SOLUTION: Factor.3a^2(a-b)-6a(a-b)+21(a-b) Please assist me with the proper way to do this problem. Possible answers: A: (3a – b)(a^2 – 2a + 7), B:3(a – b)(a^2 – 6a + 21), C:(a – b)

Algebra ->  Graphs -> SOLUTION: Factor.3a^2(a-b)-6a(a-b)+21(a-b) Please assist me with the proper way to do this problem. Possible answers: A: (3a – b)(a^2 – 2a + 7), B:3(a – b)(a^2 – 6a + 21), C:(a – b)      Log On


   

Question 128042: Factor.3a^2(a-b)-6a(a-b)+21(a-b)
Please assist me with the proper way to do this problem.
Possible answers: A: (3a – b)(a^2 – 2a + 7), B:3(a – b)(a^2 – 6a + 21),
C:(a – b)(3a^2 – 6a + 21)D:3(a – b)(a^2 – 2a + 7).
Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
3a%5E2%28a-b%29-6a%28a-b%29%2B21%28a-b%29

All of the terms have a common factor of a-b, so start with that.

%28a-b%29%283a%5E2-6a%2B21%29

Now the coefficients on the trinomial part have a common factor of 3, so:

3%28a-b%29%28a%5E2-2a%2B7%29, which I believe is your answer D. Final answer, Regis.