Question

2x+2/x^2+x+3x+3/x^2+x

Answer 1

5/x

Explanation:

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

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

`(5x+5)/(x^2+x)`

`(5(x+1))/(x(x+1))`

`(5)/(x)`

Answer 2

`\frac{2x + 2}{ {x}^(2) + x } + \frac{3x + 3}{ {x}^(2) + x} \\ \\ = \frac{2(x + 1)}{x {}^(2) + x } + \frac{3x + 3}{ {x}^(2) + x } \\ \\ = (2(x + 1))/(x(x + 1)) + \frac{3x + 3}{ {x}^(2) + x} \\ = (2)/(x) + \frac{3(x + 1)}{ {x}^(2) + x} \\ \\ = (2)/(3) + \frac{3(x + 1)}{ {x}^(2) + x} \\ \\ = (2)/(3) + (3(x + 1))/(x (x + 1) ) \\ \\ = (2)/(x) + (3)/(x) \\ \\ = (2 + 3)/(x) \\ \\ = (5)/(x)`

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# Bora 7#