What is ((x-2))/y+((3y))/x ?

The solution to ((x-2))/y+((3y))/x is (x^2-2x+3y^2)/(xy)

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simplify ((x-2))/y+((3y))/x

simplify

\frac{( x - 2 )}{y} + \frac{( 3 y )}{x}

\frac{x ^{2} - 2 x + 3 y ^{2}}{x y}

Solution steps

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

Least Common Multiplier of

y, x : x y

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x - 2) x + 3 y^{2} : x^{2} - 2 x + 3 y^{2}

= \frac{x ^{2} - 2 x + 3 y ^{2}}{x y}

3 x^{\frac{1}{6}} \cdot 4 x^{\frac{- 7}{6}}

\frac{( - x ^{7} y ^{5} ) ^{2}}{( 3 x ^{3} y ^{2} ) ^{4}}

\frac{( b ) 2 ^{5}}{( 2 ^{- 6} )}

(2 x - y)^{2} - (y + 1)^{2}

x (y^{2} - z^{2}) + y (z^{2} - x^{2}) + z (x^{2} - y^{2})

What is ((x-2))/y+((3y))/x ?
The solution to ((x-2))/y+((3y))/x is (x^2-2x+3y^2)/(xy)