## anonymous 5 years ago what is (x+3)!/(x+4)! simplified?

1. anonymous

hmm, If I'm not mistaken, I think it's the same as the following:$(k+1)! = k!(k+1)$ so, as for your question : $\frac{x!(x+3)}{x!(x+4)} = \frac{x+3}{x+4}$ not sure though ^_^

2. anonymous

You draw a pyramid from 1,2,3....(x-1), (x-2), (x-3),...(x)...(x+1), (x+2), (x+3), (x+4). Build a pyramid like the Egyptians did.

3. anonymous

._. I never used that way lol

4. anonymous

(x+3)!/(x+4)! = (x+3)!/ /( x+4)(x+3)!= 1/(x+4)

5. anonymous

(k+1)!=k!(k+1) is only true for that case. All you are doing is expanding the factorial, it's not a factorial property or anything

6. anonymous

thank you all!

7. anonymous

I think I got my pyramid wrong, the x-1's should go the other way ...(x-3), (x-2), (x-1)...