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factor this out....

What's the common factor? How did you get there? (ok i hope it doesnt require expanding the polynomials :p)

Again, would it be easier if i substituted every (k+x) by a different variable, where (k+1) would equal to variable 'A', (k+2) = B, and so forth?

(this would eventually lead to a mathematical induction)...this is not a hw question...im simply trying to understand factoring and mathematical induction...