Originally Posted by
omgwtfbbq The original problem
sin^3x+cos^3x
---------------- = 1-sinxcosx
sinx+cosx
Now I have this awesome book that tells how to do the problems step by step but it doesn't do a very good job of explaining how it went from step 1 to step 2. For example the book gives me
sinx^3+cosx^3 _ _ (sinx+cosx)(sinx^2-sinxcosx+cosx^2)
--------------- = ------------------------------------ = ... = 1-sinxcosx
sinx+cosx _ _ _ _ _ _ _ _ _ sinx+cosx
SO my question is how do you get (sinx^2-sinxcosx+cosx^2) from factoring (sinx+cosx) out of (sinx^3+cox^3).
Oh and the _ _ _ _ _ _ _ _ _ is where spaces would be if the forum didn't cut out multiple spaces