How to factor variable in an exponential that isn't a quadratic?

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How do I factor the below in terms of $B$? It doesn't appear to be a quadratic to me and I have tried substitutions but to no avail. What am I supposed to do to factor this in terms of $B$?

$$\big(A+(1-f)B\big)^{\frac p n} - \big(A+(1-f)B\big)^{\frac{p-1}{n}} - C^p = 0$$