Known (X-Y) (x ^ 2 + XY + y ^ 2) = x ^ 3-y ^ 3 1. If A-B = 4, a ^ 3-B ^ 3 = 28, find a ^ 2 + AB + B ^ 2 2. Factorization m ^ 3-N ^ 3 + N-M

1、
a^3-b^3=(a+b)(a^2+ab+b^2)
So a ^ 2 + AB + B ^ 2 = 28 △ 4 = 7
2、
Original formula = (m-n) (m ^ 2 + Mn + n ^ 2) - (m-n)
=(m-n)(m^2+mn+n^2-1)

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