What is (c+2)/(c-5)-c/(c+1) ?

The solution to (c+2)/(c-5)-c/(c+1) is (8c+2)/((c-5)(c+1))

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simplify (c+2)/(c-5)-c/(c+1)

simplify

\frac{c + 2}{c - 5} - \frac{c}{c + 1}

\frac{8 c + 2}{( c - 5 ) ( c + 1 )}

Solution steps

\frac{c + 2}{c - 5} - \frac{c}{c + 1}

Least Common Multiplier of

c - 5, c + 1 : (c - 5) (c + 1)

Adjust Fractions based on the LCM

= \frac{( c + 2 ) ( c + 1 )}{( c - 5 ) ( c + 1 )} - \frac{c ( c - 5 )}{( c - 5 ) ( c + 1 )}

Apply the fraction rule:

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

= \frac{( c + 2 ) ( c + 1 ) - c ( c - 5 )}{( c - 5 ) ( c + 1 )}

Simplify

(c + 2) (c + 1) - c (c - 5) : 8 c + 2

= \frac{8 c + 2}{( c - 5 ) ( c + 1 )}

y^{2} - 5 y + 3 = 17

∣ 2 x + 3 ∣ + 1 < 11

∣ u ∣ + 5 < 12

∣ 7 - 2 x ∣ = 15

\frac{- 3 x}{x ^{2} - 9} > 0

What is (c+2)/(c-5)-c/(c+1) ?
The solution to (c+2)/(c-5)-c/(c+1) is (8c+2)/((c-5)(c+1))