2024 IGCSE Additional Mathematics October/November 0606/11 Q5

In the expansion of \((1+kx)^{15}\), where \(k\) is a constant, the coefficient of \(x^3\) is \(-29120\). Find the value of \(k\).[2]

Find the term independent of \(y\) in the expansion of \(\left(8y^2-\dfrac1{2y}\right)^{12}\).[2]