What is (x+3}{x+2}-\frac{x-4)/x ?

The solution to (x+3}{x+2}-\frac{x-4)/x is (5x+8)/(x(x+2))

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simplify (x+3}{x+2}-\frac{x-4)/x

simplify

\frac{x + 3}{x + 2} - \frac{x - 4}{x}

\frac{5 x + 8}{x ( x + 2 )}

Solution steps

\frac{x + 3}{x + 2} - \frac{x - 4}{x}

Least Common Multiplier of

x + 2, x : x (x + 2)

Adjust Fractions based on the LCM

= \frac{( x + 3 ) x}{x ( x + 2 )} - \frac{( x - 4 ) ( x + 2 )}{x ( x + 2 )}

Apply the fraction rule:

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

= \frac{( x + 3 ) x - ( x - 4 ) ( x + 2 )}{x ( x + 2 )}

Simplify

(x + 3) x - (x - 4) (x + 2) : 5 x + 8

= \frac{5 x + 8}{x ( x + 2 )}

70 x^{4} + 80 x^{2}

10.24

(4 x^{2} y^{- 1})^{3}

4 x^{5} \cdot 2 x^{3} \cdot 12 x y^{2}

\frac{m ^{2} - n ^{2}}{m ^{2} + 2 mn + n ^{2}}

What is (x+3}{x+2}-\frac{x-4)/x ?
The solution to (x+3}{x+2}-\frac{x-4)/x is (5x+8)/(x(x+2))