(x+1)(x+2)(x+3)(x+4)+1(x+1)(x-2)(x+3)(x-4)+25

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(x+1)(x+2)(x+3)(x+4)+1(x+1)(x-2)(x+3)(x-4)+25

(x+1)(x+2)(x+3)(x+4)+1(x+1)(x-2)(x+3)(x-4)+25
(x+1)(x+2)(x+3)(x+4)+1
(x+1)(x-2)(x+3)(x-4)+25

(x+1)(x+2)(x+3)(x+4)+1(x+1)(x-2)(x+3)(x-4)+25
看来是因式分解题目
(x+1)(x+2)(x+3)(x+4)+1=(x+1)(x+4)(x+2)(x+3)+1
=(x^2+5x+4)(x^2+5x+6)+1
=(x^2+5x)^2+10(x^2+5x)+24+1
=(x^2+5x+5)^2
(x+1)(x-2)(x+3)(x-4)+25
=(x^2-x-2)(x^2-x-12)+25
=(x^2-x)^2-14(x^2-x)+49
=(x^2-x-7)^2

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