(a) Find the first three terms in ascending powers of \(x\) of the expansion of \((1+2x)^5\). [2]

(b) Find the first three terms in ascending powers of \(x\) of the expansion of \((1-3x)^4\). [2]

(c) Hence find the coefficient of \(x^2\) in the expansion of \((1+2x)^5(1-3x)^4\). [2]