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If f(x)=(x+2)^(7)(x+4)^(p),g(x)=(x+2)^(q...

If `f(x)=(x+2)^(7)(x+4)^(p),g(x)=(x+2)^(q)(x+4)^(9)` and the `LCM` of `f(x)` and `g(x)` is `(x+2)^(q)(x+4)^(9)` ,then find the maximum value of `p -q`

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