因式分解:x(x+1)(x+2)(x+3)-24

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因式分解:x(x+1)(x+2)(x+3)-24因式分解:x(x+1)(x+2)(x+3)-24因式分解:x(x+1)(x+2)(x+3)-24原式=(x²+3x)(x²+3x+2

因式分解:x(x+1)(x+2)(x+3)-24
因式分解:x(x+1)(x+2)(x+3)-24

因式分解:x(x+1)(x+2)(x+3)-24
原式=(x²+3x)(x²+3x+2)-24
设x²+3x+1=a
原式=(a-1)(a+1)-24
=a²-1-24
=a²-25
=(a-5)(a+5)
=(x²+3x-4)(x²+3x+6)
=(x-1)(x+4)(x²+3x+6)
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