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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x, x^{2} : x^{2}

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(2 x + 1) x + 3 : 2 x^{2} + x + 3

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

\frac{1}{8} \cdot 1 0^{- 2}

3^{\frac{3}{2}} + 3 i

2 \frac{1}{2} + 1 \frac{1}{5} - 3 \frac{3}{10}

cos^{2} (x) - 1

sin (x) sec (x)