What is 3/(x-3)-7/(x+3) ?

The solution to 3/(x-3)-7/(x+3) is (-4x+30)/((x-3)(x+3))

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simplify 3/(x-3)-7/(x+3)

simplify

\frac{3}{x - 3} - \frac{7}{x + 3}

\frac{- 4 x + 30}{( x - 3 ) ( x + 3 )}

Solution steps

\frac{3}{x - 3} - \frac{7}{x + 3}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 ( x + 3 )}{( x - 3 ) ( x + 3 )} - \frac{7 ( x - 3 )}{( x - 3 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{3 ( x + 3 ) - 7 ( x - 3 )}{( x - 3 ) ( x + 3 )}

Simplify

3 (x + 3) - 7 (x - 3) : - 4 x + 30

= \frac{- 4 x + 30}{( x - 3 ) ( x + 3 )}

\frac{1}{3} (9 - 6 m) + \frac{1}{4} (12 m - 8)

- 5 \cdot (- 3)

4 n^{2} + 15 n + 9

8 + 4

9 + 8

What is 3/(x-3)-7/(x+3) ?
The solution to 3/(x-3)-7/(x+3) is (-4x+30)/((x-3)(x+3))