Question

what is (x+3)!/(x+4)! simplified?

Answer 1

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 ^_^

Answer 2

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.

Answer 3

._. I never used that way lol

Answer 4

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

Answer 5

(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

Answer 6

thank you all!

Answer 7

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