Question

X squared plus three x over x squared minus two x plus one

Answer 1

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Answer 2

The given expression can be written as :

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

In the numerator x can be taken as a common factor to give x(x+3x)

In denominator the first factors are x in both the parenthesis .We then find two numbers which when multiplied will give us 1 and the same numbers on addition should give us -2.The numbers are -1 and -1 .These are written next to x in both the parenthesis .The factors of denominator are (x-1)(x-1) .This can not be simplified further.