номер 93 гдз 8 класс алгебра Муравин Муравин
1)\begin{equation}\frac{ax+b}{bx}+\frac{bx-a}{ax}=
\end{equation}
\begin{equation}=\frac{a^{2}x+ab+b^{2}x-ab}{abx}=
\end{equation}
\begin{equation}=\frac{a^{2}x+b^{2}x}{abx}=\frac{x\left ( a^{2}+b^{2} \right )}{abx}=
\end{equation}
\begin{equation}=\frac{a^{2}+b^{2}}{ab}
\end{equation}
2)\begin{equation}\frac{c+ny}{cy}-\frac{n-cy}{ny}=
\end{equation}
\begin{equation}=\frac{nc+n^{2}y-nc+c^{2}y}{cny}=
\end{equation}
\begin{equation}=\frac{n^{2}y+c^{2}y}{cny}=\frac{y\left ( n^{2}+c^{2} \right )}{cny}=
\end{equation}
\begin{equation}=\frac{n^{2}+c^{2}}{cn}
\end{equation}
3)\begin{equation}\frac{m}{n}+\frac{n}{m}-\frac{\left ( m-n \right )^{2}}{mn}
\end{equation}
\begin{equation}\frac{m^{2}+n^{2}-m^{2}+2mn-n^{2}}{mn}=
\end{equation}
\begin{equation}=\frac{2mn}{mn}=2
\end{equation}
4)\begin{equation}\frac{\left ( x-y \right )^{2}}{xy}-\frac{x}{y}-\frac{y}{x}
\end{equation}
\begin{equation}\frac{x^{2}-2xy+y^{2}-x^{2}-y^{2}}{xy}=
\end{equation}
\begin{equation}=\frac{-2xy}{xy}=-2
\end{equation}
5)\begin{equation}\frac{a+b}{2ab}+\frac{a+c}{2ac}+\frac{b+c}{2bc}
\end{equation}
\begin{equation}\frac{ac+bc+ab+bc+ab+ac}{2abc}=
\end{equation}
\begin{equation}=\frac{2ac+2bc+2ab}{2abc}=
\end{equation}
\begin{equation}=\frac{2\left ( ac+bc+ab \right )}{2abc}=
\end{equation}
\begin{equation}=\frac{ac+bc+ab}{abc}
\end{equation}
6)\begin{equation}\frac{y+z}{yz}-\frac{x-y}{xy}-\frac{x-z}{xz}
\end{equation}
\begin{equation}\frac{xy+xz-xz+yz-yx+yz}{xyz}=
\end{equation}
\begin{equation}=\frac{2yz}{xyz}=\frac{2}{x}
\end{equation}
