The first three terms, in descending powers of \(x\), in the expansion of \((3x^2-a)^n\left(1+\dfrac1{x^2}\right)^2\) can be written as \(729x^{12}+972x^{10}+bx^8\), where \(a\), \(b\) and \(n\) are constants.
Find the values of \(a\), \(b\) and \(n\).[9]
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