Question

Find the sum: x-2/x^2+1 + x+3/x^2+1

Answers: 2x+1/2x^2+2
1/x^2+1
2x+1/x^2+1
2/x

Answer 1

the answer is B
because i had the same answer and i got it right

Answer 2

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

Explanation:

Given expression,

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

Since, if the denominator of two fractions are same then the numerator are added directly,

That is,

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

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

Hence,

SECOND option is correct.