Answers:
A. Commutative Property of Multiplication
D. Commutative Property of Addition
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Step-by-step explanation:
The commutative property of multiplication is the idea we can multiply two numbers in any order. The rule is x*y = y*x
An example would be 2*3 = 3*2 since both sides result in 6.
The same applies to 3*(2+c) because it can be written as (2+c)*3. Simply flip the two factors 3 and (2+c).
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A similar idea is the commutative property of addition. This rule says that we can add two numbers in any order we want.
x+y = y+x
An example would be 7+9 = 9+7 because both sums result in 16
Using this rule, we can rewrite 2+c as c+2
Therefore 3(2+c) is the same as 3(c+2)
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We can't use any associative properties because we would need to have 3 terms being either added or 3 terms being multiplied, for associative rules to apply.
For instance 1+(2+3) = (1+2)+3 is an example of the associative property of addition. An example of the associative property of multiplication would be 3(7*9) = (3*7)*9