What is 5/(x-6)-1/(x+5) ?

The solution to 5/(x-6)-1/(x+5) is (4x+31)/((x-6)(x+5))

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simplify 5/(x-6)-1/(x+5)

simplify

\frac{5}{x - 6} - \frac{1}{x + 5}

\frac{4 x + 31}{( x - 6 ) ( x + 5 )}

Solution steps

\frac{5}{x - 6} - \frac{1}{x + 5}

Least Common Multiplier of

x - 6, x + 5 : (x - 6) (x + 5)

Adjust Fractions based on the LCM

= \frac{5 ( x + 5 )}{( x - 6 ) ( x + 5 )} - \frac{x - 6}{( x - 6 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{5 ( x + 5 ) - ( x - 6 )}{( x - 6 ) ( x + 5 )}

Simplify

5 (x + 5) - (x - 6) : 4 x + 31

= \frac{4 x + 31}{( x - 6 ) ( x + 5 )}

(3 x + 1) (3 x + 2)

(a + 2 b) x^{4} + (2 b + a) y^{3}

(8) (6)

\frac{0 + 1}{0 - 1}

What is 5/(x-6)-1/(x+5) ?
The solution to 5/(x-6)-1/(x+5) is (4x+31)/((x-6)(x+5))