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

The solution to x/(x-3)-2/(3x+4) is (3x^2+2x+6)/((x-3)(3x+4))

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simplify x/(x-3)-2/(3x+4)

simplify

\frac{x}{x - 3} - \frac{2}{3 x + 4}

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

Solution steps

\frac{x}{x - 3} - \frac{2}{3 x + 4}

Least Common Multiplier of

x - 3, 3 x + 4 : (x - 3) (3 x + 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (3 x + 4) - 2 (x - 3) : 3 x^{2} + 2 x + 6

= \frac{3 x ^{2} + 2 x + 6}{( x - 3 ) ( 3 x + 4 )}

(2 a^{2} b c^{4})^{3}

x^{3} + 2 x^{2} + 8 x + 16

\frac{2}{9} + \frac{1}{15}

\frac{6 jk}{8 k}

(10 y)^{- 3}

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