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