Dividing by a Binomial Denominator

[RedComet]

I think I've found a mistake in the review book I'm using. Would someone care to work this problem and see if they get the same thing?

(k^3 -1) / (k - 1)

I ended up with k^2 + k + 1 as the answer, but the book gives the answer as k^2 - k - 1 - (2 / [k - 1])

Thanks for the help.

P.S. Awesome site. I've been using this since high school (5+ years ago) and I'm using it again in conjunction with other books to get myself ready for college level Calculus.

[nona.m.nona]

(k^3 -1) / (k - 1)

I ended up with k^2 + k + 1 as the answer...

This result can be obtained by factoring the difference of cubes and then canceling.

...but the book gives the answer as k^2 - k - 1 - (2 / [k - 1])

Simplify:







This does not equal the original expression, so the simplification would appear to be incorrect.