What is (sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)) ?

The solution to (sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)) is x-y

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simplify (sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y))

simplify

(x + y) \cdot (x - y)

x - y

Solution steps

(x + y) (x - y)

Apply Difference of Two Squares

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

= x - y

(x + \frac{1}{5}) (x + \frac{2}{5})

(3 t - 3) e^{(\frac{t + 2}{3})}

\frac{2 x ^{3} - 4 x ^{2} - 15 x + 6}{( x - 1 ) ^{2}}

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

\frac{x - 1}{( x + 1 ) ^{2}}

What is (sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)) ?
The solution to (sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)) is x-y