空x+1括住乘以括号x+2括住乘以括号x+3括住乘以括s+4括住+1因式分解

2024-12-02 09:27:31
推荐回答(1个)
回答1:

(x+1)(x+2)(x+3)(x+4)+1
=(x^2+5x+4)(x^2+5x+6)+1
=(x^2+5x)^2+10(x^2+5x)+24+1
=(x^2+5x)^2+10(x^2+5x)+25
=(x^2+5x+5)^2