SOLUTION: i need help to solve the commutative or distrbutive to find equivalent expression for the following: (x+y)x + (x+y)y

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: i need help to solve the commutative or distrbutive to find equivalent expression for the following: (x+y)x + (x+y)y      Log On

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Question 339052: i need help to solve the commutative or distrbutive to find equivalent expression for the following:
(x+y)x + (x+y)y
Answer by stanbon(57314) About Me  (Show Source):
You can put this solution on YOUR website!
(x+y)x + (x+y)y
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Using the distributive law you get:
= x^2+xy + xy+y^2
Combine "like" terms:
= x^2+2xy+y^2
Factor
= (x+y)(x+y)
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OR
(x+y)x+(x+y)y
The common factor is (x+y):
= (x+y)(x+y)
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Cheers,
Stan H.