化简求值(x+1)(x+2)(x+3)(x+4)-24化简求值.

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化简求值(x+1)(x+2)(x+3)(x+4)-24
化简求值.

原式=[(x+1)(x+4)][(x+2)(x+3)]-24
=[(x²+5x)+4][(x²+5x)+6]-24
=(x²+5x)²+10(x²+5x)+24-24
=(x²+5x)²+10(x²+5x)
=(x²+5x)(x²+5x+10)
=x(x+5)(x²+5x+10)

x=0