把下例各式因式分解 x^2+x-2 x^2+2x-3 x^2+2x+1 x^2-4x+4 x^2-3x=2 x^3-2x
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/10/15 18:25:14
把下例各式因式分解 x^2+x-2 x^2+2x-3 x^2+2x+1 x^2-4x+4 x^2-3x=2 x^3-2x^2+x x^4-x^2
x^2+x-2
x^2+2x-3
x^2+2x+1
x^2-4x+4
x^2-3x+2
x^3-2x^2+x
x^4-x^2
x^2+x-2
x^2+2x-3
x^2+2x+1
x^2-4x+4
x^2-3x+2
x^3-2x^2+x
x^4-x^2
x^2+x-2
=(x+2)(x-1)
x^2+2x-3
=(x+3)(x-1)
x^2+2x+1
=(x+1)^2
x^2-4x+4
=(x-2)^2
x^2-3x+2
=(x-2)(x-1)
x^3-2x^2+x
=x(x^2-2+1)
=x(x-1)^2
x^4-x^2
=x^2(x^2-1)
=x^2(x-1)(x+1)
=(x+2)(x-1)
x^2+2x-3
=(x+3)(x-1)
x^2+2x+1
=(x+1)^2
x^2-4x+4
=(x-2)^2
x^2-3x+2
=(x-2)(x-1)
x^3-2x^2+x
=x(x^2-2+1)
=x(x-1)^2
x^4-x^2
=x^2(x^2-1)
=x^2(x-1)(x+1)
把下例各式因式分解 x^2+x-2 x^2+2x-3 x^2+2x+1 x^2-4x+4 x^2-3x=2 x^3-2x
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