Question

Find the sum X-2 X+3 + 2x+ 1 2x²+2 x + 1 2x+1 x2 +1

Answer 1

Answer:

$\huge\red{ \bold{\frac{2x + 1}{ {x}^{2} + 1} }}$

Step-by-step explanation:

$\frac{x - 2}{ {x}^{2} + 1} + \frac{x + 3}{ {x}^{2} + 1} \\ \\ = \frac{x - 2 + x + 3}{ {x}^{2} + 1} \\ \\ = \frac{2x + 1}{ {x}^{2} + 1} \\ \\ \red{ \bold{\therefore \: \frac{x - 2}{ {x}^{2} + 1} + \frac{x + 3}{ {x}^{2} + 1}}} \blue{ \bold{ = }} \purple{ \bold{\frac{2x + 1}{ {x}^{2} + 1} }}$