not sure what you mean by factorizing in his case, but we can start simplifying:
ax^n (1 + b/(ax^(n-p)))
ax^n (ax^(n-p) + b)/(ax^(n-p))
ax^n/(ax^(n-p)) (ax^(n-p) + b)
x^p (ax^(n-p) + b)
ax^n + bx^p
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