The coefficient of the middle term in the expansion of $(x+2 y)^6$ is

Question

Professor PC Thomas Classes · Answer

Middle term is $T_4 = { }^6C_3 (x)^3 (2y)^3 = 8 \cdot { }^6C_3 x^3 y^3 = 160 x^3 y^3$. Coeff = 160.