What is 2/(x^2-49)-7/(x-7) ?

The solution to 2/(x^2-49)-7/(x-7) is (-7x-47)/((x+7)(x-7))

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simplify 2/(x^2-49)-7/(x-7)

simplify

\frac{2}{x ^{2} - 49} - \frac{7}{x - 7}

\frac{- 7 x - 47}{( x + 7 ) ( x - 7 )}

Solution steps

\frac{2}{x ^{2} - 49} - \frac{7}{x - 7}

Least Common Multiplier of

x^{2} - 49, x - 7 : (x + 7) (x - 7)

Adjust Fractions based on the LCM

= \frac{2}{( x + 7 ) ( x - 7 )} - \frac{7 ( x + 7 )}{( x + 7 ) ( x - 7 )}

Apply the fraction rule:

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

= \frac{2 - 7 ( x + 7 )}{( x + 7 ) ( x - 7 )}

Simplify

2 - 7 (x + 7) : - 7 x - 47

= \frac{- 7 x - 47}{( x + 7 ) ( x - 7 )}

(- 2 - x)^{2}

2 (x + h)^{3}

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

(2 x - 1) (x + 3)

- 3 a (a^{2} - 10 a + 25)

What is 2/(x^2-49)-7/(x-7) ?
The solution to 2/(x^2-49)-7/(x-7) is (-7x-47)/((x+7)(x-7))