What is 4/(x+1)-2/(x+2) ?

The solution to 4/(x+1)-2/(x+2) is (2x+6)/((x+1)(x+2))

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simplify 4/(x+1)-2/(x+2)

simplify

\frac{4}{x + 1} - \frac{2}{x + 2}

\frac{2 x + 6}{( x + 1 ) ( x + 2 )}

Solution steps

\frac{4}{x + 1} - \frac{2}{x + 2}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (x + 2) - 2 (x + 1) : 2 x + 6

= \frac{2 x + 6}{( x + 1 ) ( x + 2 )}

\frac{48}{72}

- \frac{3}{2} \cdot (- 4)

P (x) + Q (x)

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 3 )}

(3 x - 2 y) (y + 2 x)

What is 4/(x+1)-2/(x+2) ?
The solution to 4/(x+1)-2/(x+2) is (2x+6)/((x+1)(x+2))