Simplify
1. 2\x²-1 -1/x²2x+1
2. x+2/x-2 - x²+2x/x²-4
Answers
Answer:
Collecting like terms, and putting them together
(+2–2) and (+1/x-1/x) cancels
Step 2
We are now left with 2x/(x)^2–4
We therefore need to simplify our denominator, which is a difference to of two squares . It simplifies to (x-2)(x+2)
Step 3
Check whether there is a common divisor between the denominator and numerator so as to simplify the expression further. In our case, it is not there.
Therefore, the expression (2x)/(x-2)(x+2) is the answer
1/(x-2)+1/(x+2)+2x/(x²-4)?
And presumably you need the solution such that the expression = a? (For some a)
So step 1
Combine 1/(x-2)+1/(x+2) as something over (x-2)(x+2). Note that this is then something/(x²-4)
Steo 2 Add to the 2x/(x²-4).
Step 3 you'll have
(Somthing else)/(x²-4)=a
If a = 0 then the solution is (something else)=0
Otherwise (something else)=a(x²-4).
So expand, rearrange and solve.
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Nerdmania
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Answered April 24, 2021
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