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Question
Simplify:
`a(a + 1/a) - b(b - 1/b) - c(c + 1/c)`
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Solution
`a(a + 1/a) - b(b - 1/b) - c(c + 1/c)`
= (a2 + 1) + (−b2 + 1) + (−c2 − 1)
= a2 + 1 − b2 + 1 − c2 − 1
= a2 − b2 − c2 + 1 + 1 − 1
= a2 − b2 − c2 + 1
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