作业帮计算①x²-4／x²-4x+3÷x²+3x+2／x²-x②2x+6／4-4x+x
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/29 20:33:09
计算①x²-4／x²-4x+3÷x²+3x+2／x²-x②2x+6／4-4x+x²÷(x+3)·x²+x-6／3-x
①x²-4／x²-4x+3÷x²+3x+2／x²-x
=(x²-4)/(x²-4x+3)÷(x²+3x+2)/(x²-x)
=(x-2)(x+2)/(x-1)(x-3)÷(x+1)(x+2)/x(x-1)
=x(x-2)(x+2)(x-1)/[(x-1)(x-3)(x+1)(x+2)]
=(x²-2x)/(x²-2x-3)
②2x+6／4-4x+x²÷(x+3)·x²+x-6／3-x
=2(x+3)/(2-x)²÷(x+3)*(x+3)(x-2)/(3-x)
=(2x+3)/(-x²+5x-6)
=(x²-4)/(x²-4x+3)÷(x²+3x+2)/(x²-x)
=(x-2)(x+2)/(x-1)(x-3)÷(x+1)(x+2)/x(x-1)
=x(x-2)(x+2)(x-1)/[(x-1)(x-3)(x+1)(x+2)]
=(x²-2x)/(x²-2x-3)
②2x+6／4-4x+x²÷(x+3)·x²+x-6／3-x
=2(x+3)/(2-x)²÷(x+3)*(x+3)(x-2)/(3-x)
=(2x+3)/(-x²+5x-6)
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