What is (4(x-y))/(sqrt(x)-\sqrt{y)} ?

The solution to (4(x-y))/(sqrt(x)-\sqrt{y)} is 4(sqrt(x)+sqrt(y))

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simplify (4(x-y))/(sqrt(x)-\sqrt{y)}

simplify

\frac{4 ( x - y )}{x - y}

4 (x + y)

Solution steps

\frac{4 ( x - y )}{x - y}

Multiply by the conjugate

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

= \frac{4 ( x - y ) ( x + y )}{( x - y ) ( x + y )}

(x - y) (x + y) = x - y

= \frac{4 ( x - y ) ( x + y )}{x - y}

Cancel the common factor:

x - y

= 4 (x + y)

x^{3} - 13 x^{2} + 47 x - 35

- 2 x^{2} = - 128

3 (x + 2)^{2} = 54

lo g_{2} (x) > 1

e^{\frac{iπ}{4}}

What is (4(x-y))/(sqrt(x)-\sqrt{y)} ?
The solution to (4(x-y))/(sqrt(x)-\sqrt{y)} is 4(sqrt(x)+sqrt(y))