What is 3/(x-3)-5/(x-2) ?

The solution to 3/(x-3)-5/(x-2) is (-2x+9)/((x-3)(x-2))

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simplify 3/(x-3)-5/(x-2)

simplify

\frac{3}{x - 3} - \frac{5}{x - 2}

\frac{- 2 x + 9}{( x - 3 ) ( x - 2 )}

Solution steps

\frac{3}{x - 3} - \frac{5}{x - 2}

Least Common Multiplier of

x - 3, x - 2 : (x - 3) (x - 2)

Adjust Fractions based on the LCM

= \frac{3 ( x - 2 )}{( x - 3 ) ( x - 2 )} - \frac{5 ( x - 3 )}{( x - 3 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{3 ( x - 2 ) - 5 ( x - 3 )}{( x - 3 ) ( x - 2 )}

Simplify

3 (x - 2) - 5 (x - 3) : - 2 x + 9

= \frac{- 2 x + 9}{( x - 3 ) ( x - 2 )}

\frac{x + 8}{x ^{2} + 13 x + 40} \cdot \frac{x ^{2} - 25}{9 x ^{2}}

lo g_{7} (98)

\frac{( 3 )}{( b - 3 )} + \frac{( b )}{( b - 3 )}

6.24 x 1 0^{18} \cdot 240

\frac{a ^{2}}{a ^{5}}

What is 3/(x-3)-5/(x-2) ?
The solution to 3/(x-3)-5/(x-2) is (-2x+9)/((x-3)(x-2))