anonymous one year ago combine as indicated by the sign : (x+2)/(x+4) - (x-1)/(x+6)

1. anonymous

Any problems? Hint: Common denominator

2. anonymous

(x+2)/(x+4) - (x-1)/(x+6) 1- conman denominator (x+6)(x+4) [(x+2)(x+6)-(x-1)(x+4)]/[x+6)(x+4)

3. anonymous

what? the answer has a few given sections such as __x______/___6____4_

4. anonymous

@Lyralei I have no clue how to do this at all, any help will do please.

5. anonymous

$\frac{x+2}{x+4}-\frac{x-1}{x+6}$ Whenever you want to mix a fraction, you should multiply by each other's denominator, as such: $\frac{(x+2)(x+6)}{(x+4)(x+6)}-\frac{(x-1)(x+4)}{(x+6)(x+4)}$

6. anonymous

$\frac{x^2+8+12}{x^2+10+24}-\frac{x^2+3x-4}{x^2+10x+24}$ Notice that you could combine the fractions together now because the denominators are the same.

7. anonymous

$=\frac{(x^2+8x+12)-(x^2+3x-4)}{x^2+10+24}$ $=\frac{5x+16}{x^2+10+24}$

8. anonymous

@Agreenleaf

9. anonymous

that is the same answer i got, but it doesnt fit with the parts of the answer that were given to me.

10. anonymous

11. anonymous

ok that picture didnt work. but i was given ___x______ / ___6____4_ where the lines are blank spots i need to fill out @Lyralei

12. anonymous

I know what it is, you'll have to fill out the blanks, we have the numerator 5x+16, but the 6 and 4 in the denominator is actually in factorised form.

13. anonymous

Like this $\frac{5 x+16}{(x+4) (x+6)}$

14. anonymous

omg that helps haha, thanks!

15. anonymous

No problem!