$\frac{c o s^{2} x - c o s^{2} a}{c o s x - c o s a}$

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Solution

$\frac{{cos}^{2} x - {cos}^{2} a}{cos x - cos a} \Rightarrow \frac{(cos x - cos a) (cos x + cos a)}{(cos x - cos a)} \Rightarrow cos x + cos a$

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