Ok so:
sin^3- cos^3
------------------
sin^2- cos^2
=
sin^2-sin
cos
+ cos^2
--------------------------
sin+ cos
=
1+sincos
----------------
sin+ cos
EDIT: Sorry! I realised i factorised it wrong! But the book still says it's wrong!Don't worry though, I think the book is wrong, thanks for te enormous help!


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Don't worry though, I think the book is wrong, thanks for te enormous help!