Mathematics

If $$\displaystyle \frac{3x}{(x-6)(x+a)}=\frac{2}{x-6}+\frac{1}{x+a}$$ then $$a$$ =


ANSWER

$$3$$


SOLUTION
Given, $$\displaystyle \frac{3x}{(x-6)(x+a)}=\frac{2}{x-6}+\frac{1}{x+a}$$
$$\Rightarrow 3x=2x+2a+x-6$$
$$\Rightarrow a=3$$
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