In the expansion of (1x + 2y)^8, find the coefficient of x^6y^2.
Note
Use the binomial theorem and match the power of y to decide the value of k. Once k is known, the power of x is automatically n-k. The general term is C(8,k)(x)^(8-k)(2y)^k. For k=2, the coefficient is C(8,2)·1^6·2^2=112. Remember that the numerical coefficient comes from the binomial coefficient and the constants attached to x and y, including any negative sign.
