What is 9/(x^2-8x-9)-2/(x^2-81) ?

The solution to 9/(x^2-8x-9)-2/(x^2-81) is (7x+79)/((x+1)(x-9)(x+9))

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simplify 9/(x^2-8x-9)-2/(x^2-81)

simplify

\frac{9}{x ^{2} - 8 x - 9} - \frac{2}{x ^{2} - 81}

\frac{7 x + 79}{( x + 1 ) ( x - 9 ) ( x + 9 )}

Solution steps

\frac{9}{x ^{2} - 8 x - 9} - \frac{2}{x ^{2} - 81}

Least Common Multiplier of

x^{2} - 8 x - 9, x^{2} - 81 : (x + 1) (x - 9) (x + 9)

Adjust Fractions based on the LCM

= \frac{9 ( x + 9 )}{( x + 1 ) ( x - 9 ) ( x + 9 )} - \frac{2 ( x + 1 )}{( x + 1 ) ( x - 9 ) ( x + 9 )}

Apply the fraction rule:

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

= \frac{9 ( x + 9 ) - 2 ( x + 1 )}{( x + 1 ) ( x - 9 ) ( x + 9 )}

Simplify

9 (x + 9) - 2 (x + 1) : 7 x + 79

= \frac{7 x + 79}{( x + 1 ) ( x - 9 ) ( x + 9 )}

(6^{- 2})^{- 1}

\frac{121}{9}

3 y 27 y^{3}

1 \frac{2}{9} \cdot 1 \frac{4}{5}

\frac{- \frac{3}{5} a ^{3} b}{- \frac{4}{5} a ^{2} b}

What is 9/(x^2-8x-9)-2/(x^2-81) ?
The solution to 9/(x^2-8x-9)-2/(x^2-81) is (7x+79)/((x+1)(x-9)(x+9))