The term independent of \(x\) in the expansion of \(\left(2x^2+\dfrac px\right)^{12}\), where \(p\) is a positive constant, is \(7920\). Find the value of \(p\).[4]
Using your value of \(p\), find the coefficient of the term in \(x^3\) in the expansion of \(\left(1+x^4\right)\left(2x^2+\dfrac px\right)^{12}\).[4]
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