你的问题应该是求(c - b)(2a^2 - 2ab + b^2 - 2ac + c^2)的值吧?
因为 a - b = 2 (1)
a - c = 1 (2)
(1) - (2)得:c - b = 1 (3)
(c - b)(2a^2 - 2ab +b^2 - 2ac + c^2)
= ( c - b)[ (a^2 - 2ab+ b^2) + (a^2 - 2ac +c^2)]
= (c - b) [ (a - b)^2 + (a - c)^2]
把(1),(2),(3)代入上式得:
原式 = 1 ×【 2^2 + 1^2]
= 1 × 5
= 5