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In the expansion of (x^(2) - (1)/(x^(2))...

In the expansion of `(x^(2) - (1)/(x^(2)))^(16)`, the value of constant term is......

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Let constant be `T_(r + 1)`
`:. T_(r + 1) = .^(16)C_(r) (x^(2))^(16 - r) (-(1)/(x^(2)))^(r)`
`=.^(16)C_(r) x^(32 - 2r) (-1)^(r) x^(-2r)`
`= .^(16)C_(r) x^(32 - 4r) (-1)^(r)`
For constant term, `32 - 4r = 0 rArr r = 8`
`:. T_(8 + 1) = .^(16)C_(8)`
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