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The expression (5x-2)/(x+3) is equivalen...

The expression `(5x-2)/(x+3)` is equivalent to which of the following?

A

`(5-2)/(3)`

B

`5-(2)/(3)`

C

`5-(2)/(x+3)`

D

`5-(17)/(x+3)`

Text Solution

Verified by Experts

Choice D is correct. Dividing 5x − 2 by x + 3 gives:

Therefore, the expression `(5x-2)/(x+3)` can be rewritten as `5-(17)/(x+3)`.
Alternatively, `(5x-2)/(x+3)` can be rewritten as
`(5x-2)/(x+3)=((5x+15)-15-2)/(x+3)=(5(x+3)-17)/(x+3)=5-(17)/(x+3)`.
Choices A and B are incorrect and may result from incorrectly canceling out the x in the expression`(5x-2)/(x+3)`. Choice C is incorrect and may result from finding an incorrect remainder when performing long division.
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