How would you simplify this complex expression:
(12) (x+7)^3 (3x+1)^3 + (3)(x+7)^2 (3x+1)^4

Question

anonymous · Answer

Here ya go, attached is a solution that i got from an expressions calculator... hope it helps...

anonymous · Answer

Thank you guys so much! I'll check it out and see if I can figure it out! :)

anonymous · Answer

$$3 (x+7)^2 (3 x+1)^3 (7 x+29) $$

anonymous · Answer

Hey Robtobey~ how did you go about solving that to get that simplified expression?

anonymous · Answer

Factor out  (3 x + 1)^3 and put it on the right side.  
Factor out  (x + 7)^2 and put it on the left side.
(x + 7)^2  ((12) (x + 7) + (3) (3 x + 1)) (3 x + 1)^3
Expand the center.
(x + 7)^2  (87 + 21 x) (3 x + 1)^3
Factor the center
(x + 7)^2  3 (29 + 7 x) (3 x + 1)^3
Rearrange the terms$$3 (x+7)^2 (3 x+1)^3 (7 x+29)  $$