## Anguyennn one year ago How to find the greatest common factor of x(a+2)-2(a+2)?

1. anonymous

What do $$x(a+2)$$ and $$-2(a+2)$$ have in common?

2. Anguyennn

a and 2

3. anonymous

yeah, but you need to keep the plus sign in the middle. (a + 2) would be the gcf

4. Anguyennn

and then would x-2 go together?

5. anonymous

right

6. Anguyennn

could you also help me with 1/3x^4+2/3x^3-4/3x^2+1/3x?

7. anonymous

that's confusing as written. could you draw it out?

8. Anguyennn

yep

9. Anguyennn

|dw:1442112209580:dw|

10. Anguyennn

finding the gcf

11. anonymous

There's a denominator of 3 and an x in each term, so the gcf would be $\frac{ 1 }{ 3 }x$

12. Anguyennn

why does there have to be a numerator?

13. anonymous

because all fractions must have a numerator and denominator

14. anonymous

alternatively, you could say,$\frac{ x }{ 3 }$