What is (5x-6)/(6x^2)-(4-9x)/(9x^3) ?

The solution to (5x-6)/(6x^2)-(4-9x)/(9x^3) is (15x^2-8)/(18x^3)

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simplify (5x-6)/(6x^2)-(4-9x)/(9x^3)

simplify

\frac{5 x - 6}{6 x ^{2}} - \frac{4 - 9 x}{9 x ^{3}}

\frac{15 x ^{2} - 8}{18 x ^{3}}

Solution steps

\frac{5 x - 6}{6 x ^{2}} - \frac{4 - 9 x}{9 x ^{3}}

Least Common Multiplier of

6 x^{2}, 9 x^{3} : 18 x^{3}

Adjust Fractions based on the LCM

= \frac{( 5 x - 6 ) \cdot 3 x}{18 x ^{3}} - \frac{( 4 - 9 x ) \cdot 2}{18 x ^{3}}

Apply the fraction rule:

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

= \frac{( 5 x - 6 ) \cdot 3 x - ( 4 - 9 x ) \cdot 2}{18 x ^{3}}

Simplify

(5 x - 6) \cdot 3 x - (4 - 9 x) \cdot 2 : 15 x^{2} - 8

= \frac{15 x ^{2} - 8}{18 x ^{3}}

- 14 - 14

- 9 - 13

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

- 15 - 11

x^{4} y^{4} - y^{5}

What is (5x-6)/(6x^2)-(4-9x)/(9x^3) ?
The solution to (5x-6)/(6x^2)-(4-9x)/(9x^3) is (15x^2-8)/(18x^3)