What is 9/(x-2)-3/(x-3) ?

The solution to 9/(x-2)-3/(x-3) is (6x-21)/((x-2)(x-3))

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simplify 9/(x-2)-3/(x-3)

simplify

\frac{9}{x - 2} - \frac{3}{x - 3}

\frac{6 x - 21}{( x - 2 ) ( x - 3 )}

Solution steps

\frac{9}{x - 2} - \frac{3}{x - 3}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

9 (x - 3) - 3 (x - 2) : 6 x - 21

= \frac{6 x - 21}{( x - 2 ) ( x - 3 )}

4 \times (- 6)

(y + z)^{7} - (y - z)^{7}

2 \times 1 0^{- 3}

2 ln (e^{5})

2^{l o g_{2} (9)}

What is 9/(x-2)-3/(x-3) ?
The solution to 9/(x-2)-3/(x-3) is (6x-21)/((x-2)(x-3))