What is 4/(n+7)-7/(n-2) ?

The solution to 4/(n+7)-7/(n-2) is (-3n-57)/((n+7)(n-2))

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simplify 4/(n+7)-7/(n-2)

simplify

\frac{4}{n + 7} - \frac{7}{n - 2}

\frac{- 3 n - 57}{( n + 7 ) ( n - 2 )}

Solution steps

\frac{4}{n + 7} - \frac{7}{n - 2}

Least Common Multiplier of

n + 7, n - 2 : (n + 7) (n - 2)

Adjust Fractions based on the LCM

= \frac{4 ( n - 2 )}{( n + 7 ) ( n - 2 )} - \frac{7 ( n + 7 )}{( n + 7 ) ( n - 2 )}

Apply the fraction rule:

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

= \frac{4 ( n - 2 ) - 7 ( n + 7 )}{( n + 7 ) ( n - 2 )}

Simplify

4 (n - 2) - 7 (n + 7) : - 3 n - 57

= \frac{- 3 n - 57}{( n + 7 ) ( n - 2 )}

∣ x + 2 ∣ + ∣ x ∣ \leq 2

∣ 4 m + 2 ∣ \geq 6

x^{4} + 9 x^{3} < x + 9

x^{2} - 19 = 2 x

10 x^{2} - 25 x + 15 = 0

What is 4/(n+7)-7/(n-2) ?
The solution to 4/(n+7)-7/(n-2) is (-3n-57)/((n+7)(n-2))