(x-3)(x+4)(x-5)(x+6)+80因式分解

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(x-3)(x+4)(x-5)(x+6)+80因式分解
(x-3)(x+4)(x-5)(x+6)+80因式分解

(x-3)(x+4)(x-5)(x+6)+80因式分解
原式=[(x-3)(x+4)][(x-5)(x+6)]+80
=[(x²+x)-12][(x²+x)-30]+80
=(x²+x)²-42(x²+x)+360+80
=(x²+x)²-42(x²+x)+440
=(x²+x-22)(x²+x-20)
=(x²+x-22)(x+5)(x-4)

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