Question

(x+y+2) (y+1)
A: y^2+4xy+2
B: xy+4y+x+2
C: y+x+y+2
D: y^2+xy+x+3y+2

Answer 1

D

Explanation:

Given

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

Each term in the second factor is multiplied by each term in the first factor, that is

x(y + 1) + y(y + 1) + 2(y + 1) ← distribute parenthesis

= xy + x + y² + y + 2y + 2 ← collect like terms

= y² + xy + x + 3y + 2 → D