What is (2x+5)/(x^2-64)-2/(x+8) ?

The solution to (2x+5)/(x^2-64)-2/(x+8) is (21)/((x+8)(x-8))

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simplify (2x+5)/(x^2-64)-2/(x+8)

simplify

\frac{2 x + 5}{x ^{2} - 64} - \frac{2}{x + 8}

\frac{21}{( x + 8 ) ( x - 8 )}

Solution steps

\frac{2 x + 5}{x ^{2} - 64} - \frac{2}{x + 8}

Least Common Multiplier of

x^{2} - 64, x + 8 : (x + 8) (x - 8)

Adjust Fractions based on the LCM

= \frac{2 x + 5}{( x + 8 ) ( x - 8 )} - \frac{2 ( x - 8 )}{( x + 8 ) ( x - 8 )}

Apply the fraction rule:

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

= \frac{2 x + 5 - 2 ( x - 8 )}{( x + 8 ) ( x - 8 )}

Simplify

2 x + 5 - 2 (x - 8) : 21

= \frac{21}{( x + 8 ) ( x - 8 )}

- 3 \times (- 2)

(3 x - 4) (5 - 2 x) (4 x + 1)

(- 5 x^{2} + 6 x + 7) + (- x^{2} + 4 x)

(- 12 + 10 i) + (4 - 8 i)

2 (2 x)

What is (2x+5)/(x^2-64)-2/(x+8) ?
The solution to (2x+5)/(x^2-64)-2/(x+8) is (21)/((x+8)(x-8))