The commutative property refers to the idea that changing the order of the operands does not change the result. It applies to addition and multiplication.
Let's evaluate the options based on the commutative property:
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2(a+1)=2a+2: This is an example of the distributive property, not the commutative property.
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5x+4y=4y+5x: This demonstrates the commutative property of addition, as it shows that the order of addition does not change the result (i.e., \(a + b = b + a\)).
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4(2x+1)=4(2x)+1: This is another instance of the distributive property.
Therefore, the correct option showing the commutative property is 2. 5x + 4y = 4y + 5x.
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