What is (x+2}{x+3}-\frac{x-6)/x ?

The solution to (x+2}{x+3}-\frac{x-6)/x is (5x+18)/(x(x+3))

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simplify (x+2}{x+3}-\frac{x-6)/x

simplify

\frac{x + 2}{x + 3} - \frac{x - 6}{x}

\frac{5 x + 18}{x ( x + 3 )}

Solution steps

\frac{x + 2}{x + 3} - \frac{x - 6}{x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 2) x - (x - 6) (x + 3) : 5 x + 18

= \frac{5 x + 18}{x ( x + 3 )}

(- 8) (- 7)

\frac{3 u ^{5}}{2 ( u ^{5} ) ^{5}}

\frac{x ^{2} + 5 x}{25 - x ^{2}}

\frac{4}{8} - \frac{2}{8}

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

What is (x+2}{x+3}-\frac{x-6)/x ?
The solution to (x+2}{x+3}-\frac{x-6)/x is (5x+18)/(x(x+3))