Question 974372
{{{(sin^2(x)-cos^2(x))/(sin(x)+cos(x))=sin(x)-cos(x)}}}


....recall the difference of squares rule:{{{sin^2(x)-cos^2(x)=(sin(x)-cos(x))(sin(x)+cos(x))}}}; so, we have


{{{((sin(x)-cos(x))(sin(x)+cos(x)))/(sin(x)+cos(x))=sin(x)-cos(x)}}}


{{{((sin(x)-cos(x))cross((sin(x)+cos(x))))/cross((sin(x)+cos(x)))=sin(x)-cos(x)}}}


{{{sin(x)-cos(x)=sin(x)-cos(x)}}}