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)(2x)^(8-k)(2y)^k. For k=6, the coefficient is C(8,6)·2^2·2^6=7168. Remember that the numerical coefficient comes from the binomial coefficient and the constants attached to x and y, including any negative sign.