algebra
posted by mike on .
How does:
(k(k1))/2! * (1/k)^2
simplify into:
(1 (1/k))/2!
Could you show me stepbystep? thanks.

(k(k1))/2!*(1/k)^2 square 1/k and group into one single faction
= (k(k1))/(2!*(k)^2) the k on top and the k on bottom cancel
= (k1)/(2!*k) you can rewrite this as:
= (1/2!)*((k1)/k) now multiply the whole thing by (1/k)/(1/k) {note: this is legal because it is the same as multiplying a number by 1}
= (1/2!)*((1/k)(k1))/((1/k)*k) the bottom cancel out {1/k*k = 1} and just multiply the top out
= (1/2!)*(1(1/k)) rewrite as:
= (1(1/k))/2!
Fun problem! 
What happened to the k in the 2!*k before you multiplied everything by (1/k)/(1/k)

(k(k1))/2! * (1/k)^2
= (k²k)/k² / 2!
= (k²/k²  k/k²) /2!
= (1  1/k)/2!