Show that [ A=frac{V_{mathrm{S}} I_{mathrm{S}}+V_{mathrm{R}} I_{mathrm{R}}}{V_{mathrm{R}} I_{mathrm{S}}+V_{mathrm{S}} I_{mathrm{R}}} quad text { and } quad B=frac{V_{mathrm{S}}^{2}-V_{mathrm{R}}^{2}}{V_{mathrm{R}} I_{mathrm{S}}+V_{mathrm{S}} I_{mathrm{R}}}

Question:

Show that

\[
A=\frac{V_{\mathrm{S}} I_{\mathrm{S}}+V_{\mathrm{R}} I_{\mathrm{R}}}{V_{\mathrm{R}} I_{\mathrm{S}}+V_{\mathrm{S}} I_{\mathrm{R}}} \quad \text { and } \quad B=\frac{V_{\mathrm{S}}^{2}-V_{\mathrm{R}}^{2}}{V_{\mathrm{R}} I_{\mathrm{S}}+V_{\mathrm{S}} I_{\mathrm{R}}}
\]

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