Product of (x+y+2) (y+1)

Answer: x (y + 1) + y (y + 3) + 2

Step-by-step explanation:

(x + y + 2) (y + 1)

x (y + 1) + y (y + 1) + 2 (y + 1)

expanding the bracket

(xy + x) + (y2 + y) + (2y + 2)

removing the bracket

xy + x + y2 + y + 2y + 2

collecting like terms

xy + x + y2 + 3y + 2

given as: x (y + 1) + y (y + 3) + 2