What is 3/(x+1)-1/(x+4) ?

The solution to 3/(x+1)-1/(x+4) is (2x+11)/((x+1)(x+4))

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simplify 3/(x+1)-1/(x+4)

simplify

\frac{3}{x + 1} - \frac{1}{x + 4}

\frac{2 x + 11}{( x + 1 ) ( x + 4 )}

Solution steps

\frac{3}{x + 1} - \frac{1}{x + 4}

Least Common Multiplier of

x + 1, x + 4 : (x + 1) (x + 4)

Adjust Fractions based on the LCM

= \frac{3 ( x + 4 )}{( x + 1 ) ( x + 4 )} - \frac{x + 1}{( x + 1 ) ( x + 4 )}

Apply the fraction rule:

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

= \frac{3 ( x + 4 ) - ( x + 1 )}{( x + 1 ) ( x + 4 )}

Simplify

3 (x + 4) - (x + 1) : 2 x + 11

= \frac{2 x + 11}{( x + 1 ) ( x + 4 )}

13 m - 2 m

4 x^{3} + 3 x^{2} - 28 x - 21

\frac{7}{2} \cdot \frac{1}{5}

\frac{6}{7} + \frac{2}{3}

- 7 - (- 11)

What is 3/(x+1)-1/(x+4) ?
The solution to 3/(x+1)-1/(x+4) is (2x+11)/((x+1)(x+4))