what is (x+1)^2
(x + 1)² = (x + 1)(x+ 1)
Use FOIL: First (x and x), Outside (x and 1), Inside (1 and x), Last ( 1 and 1):
x·x + 1·x + 1·x + 1·1
= x² + 1x + 1x + 1 (Now, simplify by adding 1x + 1x.)
= x² + 2x + 1