What is (x-2)/(x^2+1)+(x+3)/(x^2+1) ?

The solution to (x-2)/(x^2+1)+(x+3)/(x^2+1) is (2x+1)/(x^2+1)

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

simplify

\frac{x - 2}{x ^{2} + 1} + \frac{x + 3}{x ^{2} + 1}

\frac{2 x + 1}{x ^{2} + 1}

Solution steps

\frac{x - 2}{x ^{2} + 1} + \frac{x + 3}{x ^{2} + 1}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{x - 2 + x + 3}{x ^{2} + 1}

Simplify

x - 2 + x + 3 : 2 x + 1

= \frac{2 x + 1}{x ^{2} + 1}

\frac{sec ( x ) sin ( x )}{tan ( x ) + cot ( x )}

4 \cdot 5

3 (7 - 175)

7 9^{2}

(\frac{27 x ^{3}}{64})^{\frac{2}{3}}

What is (x-2)/(x^2+1)+(x+3)/(x^2+1) ?
The solution to (x-2)/(x^2+1)+(x+3)/(x^2+1) is (2x+1)/(x^2+1)