Rút gọn:
[tex] \frac{2cos^{2}\alpha -1}{sin\alpha+cos\alpha }[/tex]
[tex]\frac{2cos^{2}\alpha -1}{\sin \alpha +\cos \alpha }[/tex]
[tex]= \frac{2cos^{2}\alpha -\sin ^{2}\alpha -\cos ^{2}\alpha }{\sin \alpha +\cos \alpha }[/tex]
[tex]= \frac{\cos ^{2}\alpha -\sin ^{2}\alpha }{\sin \alpha +\cos \alpha }[/tex]
[tex]= \frac{\left ( sin\alpha +cos\alpha \right ).\left ( sin \alpha -cos\alpha \right )}{sin\alpha +cos\alpha }[/tex]
[tex]= sin\alpha -cos\alpha[/tex]
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