SOLUTION: What is the difference of the rational expressions below? 2x/x+3-4/x
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Question 992884
:
What is the difference of the rational expressions below?
2x/x+3-4/x
Answer by
jim_thompson5910(35256)
(
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Note: the LCD is
. In order to combine these fractions, we must get each denominator equal to the LCD.
Step Number
Statement
Reason/explanation for given step
1
Original expression (no reason needed)
2
Multiply the first fraction by
3
Use the idea that
4
becomes
5
Multiply the second fraction by
6
Use the idea that
7
Use the idea that
(notice the common denominator d)
8
Distribute
Final Answer:
Note: an optional step is to distribute in the denominator turning
into
. So an alternative equivalent answer is
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