(x-y)³-x+y (a+b)²-(a-b)² (x-3)³-4x+12
题目
(x-y)³-x+y (a+b)²-(a-b)² (x-3)³-4x+12
答案
(x-y)³-x+y
=(x-y)[(x-y)²-1]
=(x-y)(x-y+1)(x-y-1)
(a+b)²-(a-b)²
=(a+b+a-b)(a+b-a+b)
=2a*2b
=4ab
(x-3)³-4x+12
=(x-3)³-4(x-3)
=(x-3)[(x-3)²-1]
=(x-3)(x-3+1)(x-3-1)
=(x-3)(x-2)(x-4)
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