What is 3/(n-5)+6/(3n-8) ?

The solution to 3/(n-5)+6/(3n-8) is (15n-54)/((n-5)(3n-8))

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simplify 3/(n-5)+6/(3n-8)

simplify

\frac{3}{n - 5} + \frac{6}{3 n - 8}

\frac{15 n - 54}{( n - 5 ) ( 3 n - 8 )}

Solution steps

\frac{3}{n - 5} + \frac{6}{3 n - 8}

Least Common Multiplier of

n - 5, 3 n - 8 : (n - 5) (3 n - 8)

Adjust Fractions based on the LCM

= \frac{3 ( 3 n - 8 )}{( n - 5 ) ( 3 n - 8 )} + \frac{6 ( n - 5 )}{( n - 5 ) ( 3 n - 8 )}

Apply the fraction rule:

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

= \frac{3 ( 3 n - 8 ) + 6 ( n - 5 )}{( n - 5 ) ( 3 n - 8 )}

Simplify

3 (3 n - 8) + 6 (n - 5) : 15 n - 54

= \frac{15 n - 54}{( n - 5 ) ( 3 n - 8 )}

\frac{5 x - 24}{- 3} = - 7

\frac{3 k}{k + 1} \cdot \frac{k ^{2} - 1}{3 k ^{3}}

6 > x

(x + 3)^{2} (x - 7) < 0

20 x^{2} - 45 = 0

What is 3/(n-5)+6/(3n-8) ?
The solution to 3/(n-5)+6/(3n-8) is (15n-54)/((n-5)(3n-8))