What is 1/(x+9)+7/(x-8) ?

The solution to 1/(x+9)+7/(x-8) is (8x+55)/((x+9)(x-8))

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simplify 1/(x+9)+7/(x-8)

simplify

\frac{1}{x + 9} + \frac{7}{x - 8}

\frac{8 x + 55}{( x + 9 ) ( x - 8 )}

Solution steps

\frac{1}{x + 9} + \frac{7}{x - 8}

Least Common Multiplier of

x + 9, x - 8 : (x + 9) (x - 8)

Adjust Fractions based on the LCM

= \frac{x - 8}{( x + 9 ) ( x - 8 )} + \frac{7 ( x + 9 )}{( x + 9 ) ( x - 8 )}

Apply the fraction rule:

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

= \frac{x - 8 + 7 ( x + 9 )}{( x + 9 ) ( x - 8 )}

Simplify

x - 8 + 7 (x + 9) : 8 x + 55

= \frac{8 x + 55}{( x + 9 ) ( x - 8 )}

(- 8) - (6 + 30 i)

9^{3} \cdot 9^{2}

\frac{2 x}{( 2 x ) ^{2} + 1}

(\frac{8}{3})^{4}

22 \cdot 23

What is 1/(x+9)+7/(x-8) ?
The solution to 1/(x+9)+7/(x-8) is (8x+55)/((x+9)(x-8))