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What is the commutative, associative, and distributive property of 3a plus 5a plus 2b

User Drew
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commutative: a+b=b+a
associative: (a+b)+c=a+(b+c)
distributive: ab+ac=a(b+c)

so
3a+5a+2b
we can show distributive with the a terms
3a+5a=a(3+5)=8a
8a+2b
we can distribute again
2(4a)+2b=2(4a+b)

not sure how to show commutative or associative
I guess
3a+5a+2b=2b+3a+5a
User Userpal
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question: What is the commutative, associative, and distributive property of 3a plus 5a plus 2b0.


Answer:Defintion of Commutative property holds for both addition and multiplication. That is: the operations addition and multiplication are commutative over the set of real numbers. That means, for any two real numbers x and. y, x + y = y + x and xy = yx. Definiton of associative In mathematics, the associative property is a property of some binary operations. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs and distrive property means The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses. I really hope this helped thx for the question!
User Torc
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