What is (3x-1)/(x^2)+(x-9)/(3x) ?

The solution to (3x-1)/(x^2)+(x-9)/(3x) is (x^2-3)/(3x^2)

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simplify (3x-1)/(x^2)+(x-9)/(3x)

simplify

\frac{3 x - 1}{x ^{2}} + \frac{x - 9}{3 x}

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

Solution steps

\frac{3 x - 1}{x ^{2}} + \frac{x - 9}{3 x}

Least Common Multiplier of

x^{2}, 3 x : 3 x^{2}

Adjust Fractions based on the LCM

= \frac{( 3 x - 1 ) \cdot 3}{3 x ^{2}} + \frac{( x - 9 ) x}{3 x ^{2}}

Apply the fraction rule:

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

= \frac{( 3 x - 1 ) \cdot 3 + ( x - 9 ) x}{3 x ^{2}}

Simplify

(3 x - 1) \cdot 3 + (x - 9) x : x^{2} - 3

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

\frac{2}{7} - \frac{1}{8}

3 (- 0.3 k + 2 k + 9) - 5 k

18 (2)

- \frac{\frac{3}{2}}{- \frac{1}{2}}

2 y \times y

What is (3x-1)/(x^2)+(x-9)/(3x) ?
The solution to (3x-1)/(x^2)+(x-9)/(3x) is (x^2-3)/(3x^2)