Math, asked by zonunichhakchhuak33, 1 month ago

Simplify
1. 2\x²-1 -1/x²2x+1
2. x+2/x-2 - x²+2x/x²-4

Answers

Answered by 123nidhi29

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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