What is (2x}{x+9}-\frac{x-1)/x ?

The solution to (2x}{x+9}-\frac{x-1)/x is (x^2-8x+9)/(x(x+9))

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simplify (2x}{x+9}-\frac{x-1)/x

simplify

\frac{2 x}{x + 9} - \frac{x - 1}{x}

\frac{x ^{2} - 8 x + 9}{x ( x + 9 )}

Solution steps

\frac{2 x}{x + 9} - \frac{x - 1}{x}

Least Common Multiplier of

x + 9, x : x (x + 9)

Adjust Fractions based on the LCM

= \frac{2 x ^{2}}{x ( x + 9 )} - \frac{( x - 1 ) ( x + 9 )}{x ( x + 9 )}

Apply the fraction rule:

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

= \frac{2 x ^{2} - ( x - 1 ) ( x + 9 )}{x ( x + 9 )}

Simplify

2 x^{2} - (x - 1) (x + 9) : x^{2} - 8 x + 9

= \frac{x ^{2} - 8 x + 9}{x ( x + 9 )}

\frac{11}{- 1}

3 \cdot 5 \cdot 7

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

(125 y^{6})^{\frac{2}{3}}

\frac{4 ^{2}}{3 ^{- 2}}

What is (2x}{x+9}-\frac{x-1)/x ?
The solution to (2x}{x+9}-\frac{x-1)/x is (x^2-8x+9)/(x(x+9))