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Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are labeled with the action or property. Match the following properties in the order they are used in the proof.

Below is an Algebraic Proof that shows how the expression x1y y2x is equivalent to x 2xy 2y Some of the steps are labeled with the action or property Match the class=

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Answer:

Step-by-step explanation:

          Steps                                     Property

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

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

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