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

The solution to (x-4)/(9x^2)+(x-3)/(6x) is (3x^2-7x-8)/(18x^2)

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

simplify

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

\frac{3 x ^{2} - 7 x - 8}{18 x ^{2}}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{( x - 4 ) \cdot 2}{18 x ^{2}} + \frac{( x - 3 ) \cdot 3 x}{18 x ^{2}}

Apply the fraction rule:

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

= \frac{( x - 4 ) \cdot 2 + ( x - 3 ) \cdot 3 x}{18 x ^{2}}

Simplify

(x - 4) \cdot 2 + (x - 3) \cdot 3 x : 3 x^{2} - 7 x - 8

= \frac{3 x ^{2} - 7 x - 8}{18 x ^{2}}

- 2 (x - 1)

c (4 + 3 c) - 0.75 (c + 3)

8 1^{0.75}

What is (x-4)/(9x^2)+(x-3)/(6x) ?
The solution to (x-4)/(9x^2)+(x-3)/(6x) is (3x^2-7x-8)/(18x^2)