化简 (x+1)(x+2)(x+3)(x+4)-8

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化简 (x+1)(x+2)(x+3)(x+4)-8

化简 (x+1)(x+2)(x+3)(x+4)-8
化简 (x+1)(x+2)(x+3)(x+4)-8

化简 (x+1)(x+2)(x+3)(x+4)-8
(x+1)(x+2)(x+3)(x+4)-8
=[(x+1) (x+4)][ ( x+2)(x+3)] -8
=(x^2+5x+4)(x^2+5x+6) -8
=(x^2+5x)^2+10(x^2+5x)+24-8
=(x^2+5x)^2+10(x^2+5x)+16
=(x^2+5x+2) (x^2+5x+8)

(x^2+5x+8)(x^2+5x+2)