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Which expression is equivalent to 3(2x+4y)-y? Show your work

A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y

Which expression is equivalent to 3(2x+4y)-y? Show your work A. 17xy B. 6x+12 C. 3(6xy-example-1
User Kodvin
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2 Answers

21 votes
21 votes

Answer:

D. 6(x+2y)-y

Explanation:

To solve for the equivilent expression, begin by simplifying the given expression. (1) To simplify 3(2x+4y)-y, you can first multiply 3 into the parentheses then combine like terms; (6x+12y)-y or 6x + 12y - y --> 6x + 11y. (2) Solve to find which expression listed will yield the same product, 6x + 11y, when simplified as well. This is quiet straightfoward to see and you wont be needing to solve each individual problem. 6(x+2y)-y will simplify to 6x + 12y - y which is then equal to --> 6x + 11y. Meaning, D. 6(x+2y)-y is equvillent to 3(2x+4y)-y.

User Raven
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3.4k points
19 votes
19 votes

Answer:

D. 6(x+2y)-y

Explanation:

Both expressions can be simplified into 6x + 11y

3(2x+4y)-y
6x + 12y - y
6x + 11y

6(x+2y)-y
6x + 12y - y
6x + 11y

User SimonAx
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3.1k points