化简 y((x^2)/(y^2)-2)

解答

化简

y (\frac{x ^{2}}{y ^{2}} - 2)

\frac{- 2 y ^{2} + x ^{2}}{y}

求解步骤

y (\frac{x ^{2}}{y ^{2}} - 2)

合并

\frac{x ^{2}}{y ^{2}} - 2 : \frac{- 2 y ^{2} + x ^{2}}{y ^{2}}

= y \frac{- 2 y ^{2} + x ^{2}}{y ^{2}}

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{y ( - 2 y ^{2} + x ^{2} )}{y ^{2}}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

y^{2} = yy

= \frac{y ( - 2 y ^{2} + x ^{2} )}{yy}

约分:

y

= \frac{- 2 y ^{2} + x ^{2}}{y}

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