化简:√﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚√【﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚】
来源:学生作业帮助网 编辑:作业帮 时间:2024/10/02 11:45:58
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化简:√﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚√【﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚】
化简:√﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚
√【﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚】
化简:√﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚√【﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚】
x³-4x²y+4y²x=x(x²-4xy+4y²)=x(x-2y)²
(x³-4x²y+4y²x)/(x-2y)=x(x-2y)²/(x-2y)=x(x-2y)
如果是√[(x³-4x²y+4y²x)/(x-2y)]
=√[x(x-2y)]
如果是√(x³-4x²y+4y²x)/(x-2y)
=(x-2y)√x/(x-2y)
=√x
√﹙x³﹣4x²y﹢4y²x﹚/﹙x-2y﹚
=√[x﹙x²﹣4xy﹢4y²﹚]/﹙x-2y﹚
=√[x(x-2y)²]/﹙x-2y﹚
=√x,(当x>2y时)
或= -√x,(当x<2y时)