化简 2((5x-(1))/((x)))^2-3((5x-(1))/((x)))-2

解答

化简

2 (\frac{5 x - ( 1 )}{( x )})^{2} - 3 (\frac{5 x - ( 1 )}{( x )}) - 2

\frac{2 ( 5 x - 1 ) ^{2}}{x ^{2}} - \frac{3 ( 5 x - 1 )}{x} - 2

求解步骤

2 (\frac{5 x - ( 1 )}{x})^{2} - 3 (\frac{5 x - ( 1 )}{x}) - 2

化简

2 (\frac{5 x - ( 1 )}{x})^{2} - 3 (\frac{5 x - ( 1 )}{x}) - 2 : 2 (\frac{5 x - 1}{x})^{2} - 3 \cdot \frac{5 x - 1}{x} - 2

= 2 (\frac{5 x - 1}{x})^{2} - 3 \cdot \frac{5 x - 1}{x} - 2

(\frac{5 x - 1}{x})^{2} = \frac{( 5 x - 1 ) ^{2}}{x ^{2}}

3 \cdot \frac{5 x - 1}{x} = \frac{3 ( 5 x - 1 )}{x}

= 2 \cdot \frac{( 5 x - 1 ) ^{2}}{x ^{2}} - \frac{3 ( 5 x - 1 )}{x} - 2

化简

2 \cdot \frac{( 5 x - 1 ) ^{2}}{x ^{2}} : \frac{2 ( 5 x - 1 ) ^{2}}{x ^{2}}

= \frac{2 ( 5 x - 1 ) ^{2}}{x ^{2}} - \frac{3 ( 5 x - 1 )}{x} - 2

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