Question

Simplify ((k+1)!-1)+(k+1)! (k+1)

Answer 1

it's part of a proof by induction question. My algebra skills always let me down =/

Answer 2

I guess (k+1)! is a common factor

Answer 3

confused. why is first term written
\[((k+1)!-1)\] parentheses are superfluous here yes?

Answer 4

can't really speculate but as it is written (k+1)! is not a common factor since it is not a factor of the first term

Answer 5

-1 + (k+2)!

Answer 6

yeh I can get that with wolfram alpha but how does it equate to that?

Answer 7

I actually did it on paper....:-)

-1 + (k+1)!(1+k+1) = -1 + (k-1)!(k+2) = -1 + (k-2)!

Answer 8

thank you :)

Answer 9

ur welcome.