NikOVa3
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simplify: 3/x+1 - 1/x-1 - 2x/x^2+1

Sagot :

MrRoyal

The simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

How to simplify the expression?

The expression is given as

3/x+1 - 1/x-1 - 2x/x^2+1

Take the LCM of the first two terms

So, we have

(3x - 3 - x - 1)/(x^2 - 1) -  2x/x^2+1

This gives

2x - 4/(x^2 - 1) -  2x/x^2+1

Take the LCM

[(2x - 4)(x^2 + 1) -2x(2x^2 - 1)]/(x^4 - 1)

Expand

[2x^3 - 4x^2 + 2x - 4 - 4x^3 + 2]/[x^4 -  1]

Evaluate the like terms

[-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

Hence, the simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

Read more about expressions at:

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