
1个回答
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X³+3X²-4
=(x³-1)+(3x²-3)
=(x-1)(x²+x+1)+3(x+1)(x-1)
=(x-1)(x²+x+1+3x+3)
=(x-1)(x²+4x+4)
=(x-1)(x+2)²
=(x³-1)+(3x²-3)
=(x-1)(x²+x+1)+3(x+1)(x-1)
=(x-1)(x²+x+1+3x+3)
=(x-1)(x²+4x+4)
=(x-1)(x+2)²
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