rudders93
Jan27-10, 07:00 PM
1. The problem statement, all variables and given/known data
It's a calculus problem. But I can get all that, it's just this final bit of factorising the answer that has me stumped. The answer I get is correct (as my calculator factorises it into the same answer as the book has), but I've been looking at it and I can't seem to figure out how to factorise it. So I was wondering if someone could please show the steps / techniques used to factorise this problem:
2. Relevant equations
Factorise (32x^3(2x^2 + 1) + 8x(2x^2 + 1)^2)
3. The attempt at a solution
I tried taking out 8x as the common factor to get to: 8x(4x^2(2x^2 + 1) + (2x^2 + 1)^2)) but I still can't see any way to further simplify it.
The answer by the way (according to my calculator / book) is: 8 x (2 x^2+1) (6 x^2+1)
Thanks!
It's a calculus problem. But I can get all that, it's just this final bit of factorising the answer that has me stumped. The answer I get is correct (as my calculator factorises it into the same answer as the book has), but I've been looking at it and I can't seem to figure out how to factorise it. So I was wondering if someone could please show the steps / techniques used to factorise this problem:
2. Relevant equations
Factorise (32x^3(2x^2 + 1) + 8x(2x^2 + 1)^2)
3. The attempt at a solution
I tried taking out 8x as the common factor to get to: 8x(4x^2(2x^2 + 1) + (2x^2 + 1)^2)) but I still can't see any way to further simplify it.
The answer by the way (according to my calculator / book) is: 8 x (2 x^2+1) (6 x^2+1)
Thanks!