General term for (x+y2)13 =‌13Cnx13−ny2n The general term for (x2+y)14 =‌14Cr2x2r2y14−r2 Equate the power of x and y ‌13−r1=2r2 ‌2r1=14−r2 Solving these equation, we get r1=5,r2=4 The common term is x13−5y2(9)=x8y10 The common term is x8y10 ⇒‌‌r=8,s=10 α=1, since there is only one common term ‌⇒‌‌α(r+s)=1(8+10)=18 ‌∴‌ Sum ‌α‌∑r,s(r+s)=18
