Question

Express the following rational algebraic expression to its simple form.show your solution​

4. ײ - 1 / ײ - 2×+1​

Answer 1

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• 
  `\rm The\ answer\ is \rightarrow \red{(x + 1)/(x - 1)}`

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Answer 2

`(x+1)/(x-1)`

Explanation:

Given expression:

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

Factor the numerator and denominator

`\implies ((x+1)(x-1))/((x-1)(x-1))`

Factor out the common term
`(x-1)`:

`\implies (x+1)/(x-1)`