# Alphabetical multiplication

Algebra Level pending

What is the sum of the numerical coefficients of the powers of $$x$$ when $$(x-a)(x-b)(x-c)...(x-z)$$ is expanded?

NB: The numerical coefficients of both $$2ax^2$$ and $$2(a+b)x^2$$ would be $$2$$ in this case.

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