因式分解：(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3 因式分解：(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3全都要写过程

来源：学生作业帮助网编辑：作业帮时间：2024/05/02 08:39:01

因式分解：(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3 因式分解：(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3全都要写过程
因式分解：(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3
因式分解：(x-1)(x-2)x(x+1)+1
(x^2+2x)(x^2+2x-2)-3
全都要写过程

因式分解：(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3 因式分解：(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3全都要写过程
(x-1)(x-2)x(x+1)+1
=(x-2)(x+1)x(x-1)+1
=(x²-x-2)(x²-x)+1
=(x²-x)²-2(x²-x)+1
=(x²-x-1)²
(x^2+2x)(x^2+2x-2)-3
=(x²+2x)²-2(x²+2x)-3
=(x²+2x-3)(x²+2x+1)
=(x+3)(x-1)(x+1)²

。。。。。。。。。。。。

分解因式：
(x-1)(x-2)x(x+1)+1
=(x-2)(x+1)x(x-1)+1
=(x²-x-2)(x²-x)+1
=(x²-x)²-2(x²-x)+1
=(x²-x-1)²
(x^2+2x)(x^2+2x-2)-3
=(x²+2x)²-2(x²+2x)-3
=(x²+2x-3)(x²+2x+1)
=(x+3)(x-1)(x+1)²

(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3
=(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3
=x[(x^2-1)(x-2)+(x+2)(x^2+2x-2)]-3
=x(x^3-x-2x^2+2+x^3+2x^2-2x+2x^2+4x-4)-3
=x(2x^3+2x^2+x-2)-3
=2x^4...

全部展开

(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3
=(x-1)(x-2)x(x+1)+1(x^2+2x)(x^2+2x-2)-3
=x[(x^2-1)(x-2)+(x+2)(x^2+2x-2)]-3
=x(x^3-x-2x^2+2+x^3+2x^2-2x+2x^2+4x-4)-3
=x(2x^3+2x^2+x-2)-3
=2x^4+2x^3+x^2-2x-3
=2x^3(x+1)+(x+1)(x-3)
=(x+1)(2x^3+x-3)
=(x+1)[(2x^3-2)+(x-1)]
=(x+1)[2(x-1)(x^2+x+1)+(x-1)]
=(x+1)(x-1)(2x^2+2x+2+1)
=(x+1)(x-1)(2x^2+2x+3)

收起

x^2+x+1因式分解 (x^2-x^2)+(x-1)因式分解因式分解:x(x-1)(x-2)-6 (x^3-x^2)+(x-1)因式分解 x(x+1)(x^2+x-1)-2因式分解 x^2+1=x(x+1/x)是不是因式分解因式分解：（x+1)(x+2)(x+3)(x+4)+1 因式分解:(x-2x)+2(x-2x)+1 因式分解(x^2+x+1)(x^2+x+2)-12 因式分解(x^2-x)^2-4(x^2-x-1) 因式分解：(x^2+x+1)(x^2+x+2)-12, 因式分解：x^4+x^3-2x^2-x+1 (x²+x+1)(x²+x+2)-12因式分解 (x-1)(x-2)(x-3)(x-4)-24 因式分解 (x+1)(x+2)(x+3)(x+4)-24因式分解因式分解x^8+x^6+x^4+x^2+1 x^4+x^3-4x^2+x+1因式分解因式分解(x+1)(x+2)(x+3)(x+4)-24