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

The solution to (2x-1)/(x+3)-(x+1)/(x-3) is (x^2-11x)/((x+3)(x-3))

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

simplify

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

\frac{x ^{2} - 11 x}{( x + 3 ) ( x - 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(2 x - 1) (x - 3) - (x + 1) (x + 3) : x^{2} - 11 x

= \frac{x ^{2} - 11 x}{( x + 3 ) ( x - 3 )}

125 + 64 n^{3}

10 a^{2} - 5 a + 15 a^{3}

- 1 \frac{7}{8} \cdot (- \frac{2}{5})

x (x - 2) (x + 2)

- 5 \times 2

What is (2x-1)/(x+3)-(x+1)/(x-3) ?
The solution to (2x-1)/(x+3)-(x+1)/(x-3) is (x^2-11x)/((x+3)(x-3))