What is the correct expansion of the binomial (x + y)^5

Ok you will multiply (x+y)(x+y) to get x2 + xy + y2, now multiply that times (x+y) to get x3+2x2y+2xy2+y3, now multiply that times (x+y) to get x4+3x3y+2x2y2+3xy3+y4, now multiply that times (x+y) to get you final answer which will be x5+4x4y+5x3y2+6x2y3+4xy4+y5  

Hope this helped