1.Coefficient of αt\alpha^tαt in the expansion of (α+p)m−1+(α+p)m−2(α+q)+(α+p)m−3(α+q)2+…+(α+q)m−1(\alpha + p)^{m-1} + (\alpha + p)^{m-2}(\alpha + q) + (\alpha + p)^{m-3}(\alpha + q)^2 + \ldots + (\alpha + q)^{m-1}(α+p)m−1+(α+p)m−2(α+q)+(α+p)m−3(α+q)2+…+(α+q)m−1, where α≠−q\alpha \neq -qα=−q and p≠qp \neq qp=q isa.mCt(pt−qt)p−q\frac{{}^mC_t (p^t - q^t)}{p - q}p−qmCt(pt−qt)b.mCt(pm−t−qm−t)p−q\frac{{}^mC_t (p^{m-t} - q^{m-t})}{p - q}p−qmCt(pm−t−qm−t)c.mCt(pt+qt)p−q\frac{{}^mC_t (p^t + q^t)}{p - q}p−qmCt(pt+qt)d.mCt(pm−t+qm−t)p−q\frac{{}^mC_t (p^{m-t} + q^{m-t})}{p - q}p−qmCt(pm−t+qm−t)Login to continueOnly logged in users canattempt or see the solution.
