(X1-X2)(X1²+X1X2+X2²)怎么化简?
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(x1-x2)(x1²+x1x2+x2²)
=(x1-x2)(x1²+x1x2+x2²+x1x2-x1x2)
=(x1-x2)(x1²+2x1x2+x2²)-(x1-x2)(x1x2)
=(x1-x2)(x1+x2)²-(x1-x2)(x1x2)
=(x1-x2)【(x1+x2)²-(x1x2)】
=(x1-x2)(x1²+x1x2+x2²+x1x2-x1x2)
=(x1-x2)(x1²+2x1x2+x2²)-(x1-x2)(x1x2)
=(x1-x2)(x1+x2)²-(x1-x2)(x1x2)
=(x1-x2)【(x1+x2)²-(x1x2)】
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