(х²-1)³怎么化简
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(х²-1)³怎么化简
(х²-1)³
=x^6-3x^4+3x^2-1
=(x+1)³(x-1)³
-1+3 x^2-3 x^4+x^6
用代换法:设a=x2
则:(x2-1)3=(a-1)3=a3-3a2+3a-1
再把a= x2带入:
既有:(x2-1)3=a3-3a2+3a-1=x6-3x4+3x2-1
(х²-1)³怎么化简
(х²-1)³
=x^6-3x^4+3x^2-1
=(x+1)³(x-1)³
-1+3 x^2-3 x^4+x^6
用代换法:设a=x2
则:(x2-1)3=(a-1)3=a3-3a2+3a-1
再把a= x2带入:
既有:(x2-1)3=a3-3a2+3a-1=x6-3x4+3x2-1