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Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result. E...Question
Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result
Expression 1: y⋅3x
Expression 2: 3xy
Expression 1: y⋅3x
Expression 2: 3xy
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GPT-4o mini
To prove that the expressions \( y \cdot 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the terms in Expression 1:
\[
y \cdot 3x = 3 \cdot y \cdot x = 3xy
\]
Thus, both expressions are equivalent because they represent the same product of the same factors, just arranged differently. This shows that multiplication is independent of the order of the factors.
\[
y \cdot 3x = 3 \cdot y \cdot x = 3xy
\]
Thus, both expressions are equivalent because they represent the same product of the same factors, just arranged differently. This shows that multiplication is independent of the order of the factors.
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