expand (x+1)^2
Let's expand: (x + 1)2
(x + 1)·(x + 1)
x·x + x·1 + 1·x + 1·1
x·x = x2x·1 = x1·x = x1·1 = 1
x2 + x + x + 1
Answer:   x2 + 2x + 1