因式分解:x(x-1)(x+2)(x+3)-40

因式分解:x(x-1)(x+2)(x+3)-40.
2025-04-15 07:13:00
推荐回答(1个)
回答(1):

原式=[x(x+2)][(x-1)(x+3)]-40
=(x2+2x)(x2+2x-3)-40
=(x2+2x)2-3(x2+2x)-40
=(x2+2x+5)(x2+2x-8)
=(x2+2x+5)(x-2)(x+4).