What is (8x)/((x^2-16))-4/((x+4)) ?

The solution to (8x)/((x^2-16))-4/((x+4)) is 4/(x-4)

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simplify (8x)/((x^2-16))-4/((x+4))

simplify

\frac{8 x}{( x ^{2} - 16 )} - \frac{4}{( x + 4 )}

\frac{4}{x - 4}

Solution steps

\frac{8 x}{x ^{2} - 16} - \frac{4}{x + 4}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{8 x}{( x + 4 ) ( x - 4 )} - \frac{4 ( x - 4 )}{( x + 4 ) ( x - 4 )}

Apply the fraction rule:

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

= \frac{8 x - 4 ( x - 4 )}{( x + 4 ) ( x - 4 )}

Simplify

8 x - 4 (x - 4) : 4 x + 16

= \frac{4 x + 16}{( x + 4 ) ( x - 4 )}

Cancel

\frac{4 x + 16}{( x + 4 ) ( x - 4 )} : \frac{4}{x - 4}

= \frac{4}{x - 4}

(8 x^{2} + 7) (8 x^{2} - 7)

\frac{8 x ^{2} y - 20 x ^{3}}{4 x ^{2}}

\frac{x ^{2} - 9 x + 14}{x ^{2} + 2 x - 8}

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

1 6^{6}

What is (8x)/((x^2-16))-4/((x+4)) ?
The solution to (8x)/((x^2-16))-4/((x+4)) is 4/(x-4)