What is 3/(x+1)-1/(x+2) ?

The solution to 3/(x+1)-1/(x+2) is (2x+5)/((x+1)(x+2))

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simplify 3/(x+1)-1/(x+2)

simplify

\frac{3}{x + 1} - \frac{1}{x + 2}

\frac{2 x + 5}{( x + 1 ) ( x + 2 )}

Solution steps

\frac{3}{x + 1} - \frac{1}{x + 2}

Least Common Multiplier of

x + 1, x + 2 : (x + 1) (x + 2)

Adjust Fractions based on the LCM

= \frac{3 ( x + 2 )}{( x + 1 ) ( x + 2 )} - \frac{x + 1}{( x + 1 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{3 ( x + 2 ) - ( x + 1 )}{( x + 1 ) ( x + 2 )}

Simplify

3 (x + 2) - (x + 1) : 2 x + 5

= \frac{2 x + 5}{( x + 1 ) ( x + 2 )}

lo g_{3} ((3)^{5})

x (2 x - 7)

8 y - 2 - 3 (y - 4)

8 x^{2} - 4 x y - 6 x + 3 y

\frac{( x ^{6} - 1 )}{( x + 1 )}

What is 3/(x+1)-1/(x+2) ?
The solution to 3/(x+1)-1/(x+2) is (2x+5)/((x+1)(x+2))