What is (x-y)/(sqrt(x)-\sqrt{y)}-sqrt(x) ?

The solution to (x-y)/(sqrt(x)-\sqrt{y)}-sqrt(x) is (-y+sqrt(x)sqrt(y))/(sqrt(x)-\sqrt{y)}

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simplify (x-y)/(sqrt(x)-\sqrt{y)}-sqrt(x)

simplify

\frac{x - y}{x - y} - x

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

Solution steps

\frac{x - y}{x - y} - x

Apply the fraction rule:

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

= \frac{- x ( x - y ) + x - y}{x - y}

Simplify

- x (x - y) + x - y : - y + x y

= \frac{- y + x y}{x - y}

5 (2 4^{\frac{1}{3}}) - 4 (3^{\frac{1}{3}})

g^{2} - 2 g - 24

\frac{4 x + 1}{3} \leq \frac{12 x - 3}{7}

4 - 3 x^{2} = - 77

6^{9}

What is (x-y)/(sqrt(x)-\sqrt{y)}-sqrt(x) ?
The solution to (x-y)/(sqrt(x)-\sqrt{y)}-sqrt(x) is (-y+sqrt(x)sqrt(y))/(sqrt(x)-\sqrt{y)}