用乘法公式计算:(x-1)(x²+1)(-x-1)如题

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用乘法公式计算:(x-1)(x²+1)(-x-1)如题
用乘法公式计算:(x-1)(x²+1)(-x-1)
如题

用乘法公式计算:(x-1)(x²+1)(-x-1)如题
=(-1+x)(-1-x)(x²+1)
=[(-1)²-x²](1+x²)
=(1-x²)(1+x²)
=1²-(x²)²
=1-x4次方

原式=-(x-1)(x²+1)(x+1)=-(x²-1)(x²+1)=-(x^4-1)=1-x^4

(x-1)(x²+1)(-x-1)
=-[(x-1)(x+1)](x²+1)
=-(x²-1)(x²+1)
=-(x^4-1)
=-x^4+1

(x-1)(x²+1)(-x-1)
=-(x-1)(x²+1)(x+1)
x²+1)
=-(x^4-1)
=1-x^4