What is expand x/(y^{-1)}(x/y-(3x^2)/(xy)) ?

The solution to expand x/(y^{-1)}(x/y-(3x^2)/(xy)) is -2x^2

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expand x/(y^{-1)}(x/y-(3x^2)/(xy))

expand

\frac{x}{y ^{- 1}} (\frac{x}{y} - \frac{3 x ^{2}}{x y})

- 2 x^{2}

Solution steps

\frac{x}{y ^{- 1}} (\frac{x}{y} - \frac{3 x ^{2}}{x y})

Apply the distributive law:

a (b - c) = ab - a c

\frac{x}{y ^{- 1}} (\frac{x}{y} - \frac{3 x ^{2}}{x y}) = \frac{x}{y ^{- 1}} \cdot \frac{x}{y} - \frac{x}{y ^{- 1}} \cdot \frac{3 x ^{2}}{x y}

= \frac{x}{y ^{- 1}} \cdot \frac{x}{y} - \frac{x}{y ^{- 1}} \cdot \frac{3 x ^{2}}{x y}

Simplify

\frac{x}{y ^{- 1}} \cdot \frac{x}{y} - \frac{x}{y ^{- 1}} \cdot \frac{3 x ^{2}}{x y} : - 2 x^{2}

= - 2 x^{2}

(x) (x - 5)^{2}

5 (7 - 8)

\frac{1}{2} (e^{y} - e^{- y}) sin (x)

- 2 sin (x) (1 + cos (x))

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

What is expand x/(y^{-1)}(x/y-(3x^2)/(xy)) ?
The solution to expand x/(y^{-1)}(x/y-(3x^2)/(xy)) is -2x^2