What is (n-9)/(n+9)-(n-10)/(n+8) ?

The solution to (n-9)/(n+9)-(n-10)/(n+8) is (18)/((n+9)(n+8))

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simplify (n-9)/(n+9)-(n-10)/(n+8)

simplify

\frac{n - 9}{n + 9} - \frac{n - 10}{n + 8}

\frac{18}{( n + 9 ) ( n + 8 )}

Solution steps

\frac{n - 9}{n + 9} - \frac{n - 10}{n + 8}

Least Common Multiplier of

n + 9, n + 8 : (n + 9) (n + 8)

Adjust Fractions based on the LCM

= \frac{( n - 9 ) ( n + 8 )}{( n + 9 ) ( n + 8 )} - \frac{( n - 10 ) ( n + 9 )}{( n + 9 ) ( n + 8 )}

Apply the fraction rule:

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

= \frac{( n - 9 ) ( n + 8 ) - ( n - 10 ) ( n + 9 )}{( n + 9 ) ( n + 8 )}

Simplify

(n - 9) (n + 8) - (n - 10) (n + 9) : 18

= \frac{18}{( n + 9 ) ( n + 8 )}

am x^{2} + bm x y - an x y - bn y^{2}

\frac{3 + 3}{3 - 3}

3 (3 x - 3)^{2} + 11 = 41

- 11 s^{2} + 26 s + 61 = 0

(12 mn) (- m^{3} n^{- 2} p^{5}) (2 m)

What is (n-9)/(n+9)-(n-10)/(n+8) ?
The solution to (n-9)/(n+9)-(n-10)/(n+8) is (18)/((n+9)(n+8))