find the product using distributive property
(×+y)(x+y+2)​


Sagot :

Answer:

x²+2xy+2x+y²+2y

Step-by-step explanation:

Step 1:Multiply the second parentheses by each term from the first parentheses

(×+y)(x+y+2)

x•(x+y+2)+y•(x+y+2)

Step 2:Distribute x through the parentheses

x•(x+y+2)+y•(x+y+2)

+xy+2x+y•(x+y+2)

Step 3:Distribute y through the parentheses

x²+xy+2x+y•(x+y+2)

x²+xy+2x+xy+y²+2y

Step 4:Collect like terms

x²+xy+2x+xy+y²+2y

x²+2xy+2x+y²+2y