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已知a+b=-1 ,求a的3次方-3ab+b的3次方的值! 谢谢了! 要详细的步骤!
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A³+B³-3AB
=(A+B)(A²-AB+B²)-3AB
=-(A²-AB+B²)-3AB
=-A²+AB-B²-3AB
=-A²-2AB-B²
=-(A²+2AB+B²)
=-(A+B)²
=-(-1)²
=-1
=(A+B)(A²-AB+B²)-3AB
=-(A²-AB+B²)-3AB
=-A²+AB-B²-3AB
=-A²-2AB-B²
=-(A²+2AB+B²)
=-(A+B)²
=-(-1)²
=-1
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