In the expansion of (3x + 1y)^6, find the coefficient of x^3y^3.
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(6,k)(3x)^(6-k)(y)^k. For k=3, the coefficient is C(6,3)·3^3·1^3=540. Remember that the numerical coefficient comes from the binomial coefficient and the constants attached to x and y, including any negative sign.
