Determining polynomial factorization

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Can someone explain why the first two answers are the same? Can a person do the foil to get them equal? Can we also try:

(a^3 - b^3)=(a-b)(a^2+ab+b^2)

(a^4-b^4)= (a-b)(a^3 + a^2b + ab^2 +b^3)

Can we find a^n - b^n = (a-b)(...)?

Reference no: EM13117281

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