Question
Simplify: $\mathrm{a}\left(\mathrm{a}+\frac{1}{\mathrm{a}}\right)-\mathrm{b}\left(\mathrm{b}-\frac{1}{\mathrm{~b}}\right)-\mathrm{c}\left(\mathrm{c}+\frac{1}{\mathrm{c}}\right)$
✓
Answer
$\begin{aligned} & a\left(a+\frac{1}{a}\right)-b\left(b-\frac{1}{b}\right)-c\left(c+\frac{1}{c}\right) \\ & =a^2+1-b^2+1-c^2-1 \\ & =a^2-b^2-c^2+1\end{aligned}$
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