Binomial Theorem

If the coefficients of \(x\) and \(x^{2}\) in the expansion of \((1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}, \mathrm{p}, \mathrm{q} \leq 15\), are \(-3\) and \(-5\) respectively, then the coefficient of \(x^{3}\) is equal to _____________.