$\fraction{2 y - 6}{\exponential{y}{2} - 9} - \fraction{y}{y - 1} + \fraction{\exponential{y}{2} + 2}{\exponential{y}{2} + 2 y - 3}$

## 共享

\frac{2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)}-\frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2\left(y-1\right)-y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}
\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} 和 \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)} 的分母相同，因此將分子相減即可相減這兩個值。
\frac{2y-2-y^{2}-3y}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}

\frac{-y-2-y^{2}+y^{2}+2}{\left(y-1\right)\left(y+3\right)}
\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} 和 \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)} 的分母相同，因此將分子相加即可相加這兩個值。
\frac{-y}{\left(y-1\right)\left(y+3\right)}

\frac{-y}{y^{2}+2y-3}

\frac{2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)}-\frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{2\left(y-1\right)-y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}
\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} 和 \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)} 的分母相同，因此將分子相減即可相減這兩個值。
\frac{2y-2-y^{2}-3y}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}

\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}

\frac{-y-2-y^{2}+y^{2}+2}{\left(y-1\right)\left(y+3\right)}
\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} 和 \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)} 的分母相同，因此將分子相加即可相加這兩個值。
\frac{-y}{\left(y-1\right)\left(y+3\right)}

\frac{-y}{y^{2}+2y-3}