What is 1/(x-4)-1/(x-3) ?

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

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simplify 1/(x-4)-1/(x-3)

simplify

\frac{1}{x - 4} - \frac{1}{x - 3}

\frac{1}{( x - 4 ) ( x - 3 )}

Solution steps

\frac{1}{x - 4} - \frac{1}{x - 3}

Least Common Multiplier of

x - 4, x - 3 : (x - 4) (x - 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - 3 - (x - 4) : 1

= \frac{1}{( x - 4 ) ( x - 3 )}

(m + 5) (m - 5)

\frac{3}{2} + \frac{5}{3}

(x^{- 1} y)^{3}

e^{x + l n (x + 1)}

5 x (3 y - 2 z)