What is 6/(x-2)+1/(x+9) ?

The solution to 6/(x-2)+1/(x+9) is (7x+52)/((x-2)(x+9))

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simplify 6/(x-2)+1/(x+9)

simplify

\frac{6}{x - 2} + \frac{1}{x + 9}

\frac{7 x + 52}{( x - 2 ) ( x + 9 )}

Solution steps

\frac{6}{x - 2} + \frac{1}{x + 9}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6 ( x + 9 )}{( x - 2 ) ( x + 9 )} + \frac{x - 2}{( x - 2 ) ( x + 9 )}

Apply the fraction rule:

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

= \frac{6 ( x + 9 ) + x - 2}{( x - 2 ) ( x + 9 )}

Simplify

6 (x + 9) + x - 2 : 7 x + 52

= \frac{7 x + 52}{( x - 2 ) ( x + 9 )}

\frac{\frac{1}{x + 3} - \frac{1}{3}}{x}

(x + 1) (- x + 1)

- 22 - 38

x + x^{4}

\frac{5}{9} - \frac{2}{9}

What is 6/(x-2)+1/(x+9) ?
The solution to 6/(x-2)+1/(x+9) is (7x+52)/((x-2)(x+9))