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P^2-Q^2 can be written as (P+Q)(P-Q). P+Q is equal to (x+a)^n and P-Q is equal to nC0×x^n-nC1×x^(n-1)+nC2×x^(n-2)-… or (x-a)^n.
So P^2-Q^2=(x+a)^n×(x-a)^n=(x^2-a^2)^n
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