What is 4/(x+3)-3/(x+2) ?

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

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simplify 4/(x+3)-3/(x+2)

simplify

\frac{4}{x + 3} - \frac{3}{x + 2}

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

Solution steps

\frac{4}{x + 3} - \frac{3}{x + 2}

Least Common Multiplier of

x + 3, x + 2 : (x + 3) (x + 2)

Adjust Fractions based on the LCM

= \frac{4 ( x + 2 )}{( x + 3 ) ( x + 2 )} - \frac{3 ( x + 3 )}{( x + 3 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{4 ( x + 2 ) - 3 ( x + 3 )}{( x + 3 ) ( x + 2 )}

Simplify

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

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

\frac{5 y}{y ^{2} - 2 y}

- 1^{x}

1044

1053

9^{2 x}