Question

a[a+1/a]-b[b-1/b]-c[c+1/c]
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Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\: \: \: \: \: \: \tt{a(a + \frac{1}{a} ) - b(b - \frac{1}{b} ) - c(c + \frac{1}{c} )} \\ \\ \tt{= \cancel{a } \times \{\frac{(a {}^{2} + 1)}{ \cancel{a}} \} - \cancel{ b} \times \{ \frac{(b {}^{2} - 1) }{ \cancel{b}} \} - \cancel{c }\times \{ \frac{(c {}^{2} + 1) }{ \cancel{c}} \}} \\ \\ \tt{= a {}^{2} + 1 - (b {}^{2} - 1) - (c { }^{2} + 1) }\\ \\ \tt{ = a {}^{2} + 1 - b {}^{2} + 1- c { }^{2} - 1 }\\ \\ \tt{= a {}^{2} - b {}^{2} - c {}^{2} + 1}$