What is x/(x^2-16)-3/(x-4) ?

The solution to x/(x^2-16)-3/(x-4) is (-2x-12)/((x+4)(x-4))

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simplify x/(x^2-16)-3/(x-4)

simplify

\frac{x}{x ^{2} - 16} - \frac{3}{x - 4}

\frac{- 2 x - 12}{( x + 4 ) ( x - 4 )}

Solution steps

\frac{x}{x ^{2} - 16} - \frac{3}{x - 4}

Least Common Multiplier of

x^{2} - 16, x - 4 : (x + 4) (x - 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - 3 (x + 4) : - 2 x - 12

= \frac{- 2 x - 12}{( x + 4 ) ( x - 4 )}

(- 1 + 3 i)^{2}

(- 1 + 3 i)^{3}

\frac{5}{18}

\frac{5}{15}

\frac{13 + 9 i}{- 2 - i}

What is x/(x^2-16)-3/(x-4) ?
The solution to x/(x^2-16)-3/(x-4) is (-2x-12)/((x+4)(x-4))