(x-1)(x-3)(x-5)(x-7)-84因式分解

(x-1)(x-3)(x-5)(x-7)-84
=[(x-1)(x-7)][(x-3)(x-5)]-84
=[(x²-8x)+7][(x²-8x)+15]-84
=(x²-8x)²+22(x²-8x)+105-84
=(x²-8x)²+22(x²-8x)+21
=[(x²-8x)+1][(x²-8x)+21]
=(x²-8x+1)(x²-8x+21)
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