What is (3x)/(x^2-81)-1/(x-9) ?

The solution to (3x)/(x^2-81)-1/(x-9) is (2x-9)/((x+9)(x-9))

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simplify (3x)/(x^2-81)-1/(x-9)

simplify

\frac{3 x}{x ^{2} - 81} - \frac{1}{x - 9}

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

Solution steps

\frac{3 x}{x ^{2} - 81} - \frac{1}{x - 9}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 x}{( x + 9 ) ( x - 9 )} - \frac{x + 9}{( x + 9 ) ( x - 9 )}

Apply the fraction rule:

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

= \frac{3 x - ( x + 9 )}{( x + 9 ) ( x - 9 )}

Simplify

3 x - (x + 9) : 2 x - 9

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

(x^{2} - 2 x + 4)^{2}

\frac{3}{8} \div 24

- 11 + 6

f (4 x - 6)

- 18 + 8

What is (3x)/(x^2-81)-1/(x-9) ?
The solution to (3x)/(x^2-81)-1/(x-9) is (2x-9)/((x+9)(x-9))