Question

P=$\frac{a^n}{(a-b)(a-c)}+\frac{b^n}{(b-c)(b-a)}+\frac{c^n}{(c-a)(c-b)}$
=$\frac{a^n(b-c)+b^n(c-a)+c^n(a-b)}{(a-b)(b-c)(c-a)}$
Q=$a^n(b-c)+b^n(c-a)+c^n(a-b)$
n=1,P=0
n=2,P=1
n=3,P=a+b+c
n=4,P=$a^2+b^2+c^2+ab+bc+ca$
n=n,P=???

Please express it in a formula.
Generalize it, please.

Answer 1

Answer:

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Step-by-step explanation:

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