What is sqrt(x-2\sqrt{xy)+y}sqrt(x+2\sqrt{xy)+y} ?

The solution to sqrt(x-2\sqrt{xy)+y}sqrt(x+2\sqrt{xy)+y} is sqrt((x+y-2\sqrt{xy))(x+y+2sqrt(xy))}

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simplify sqrt(x-2\sqrt{xy)+y}sqrt(x+2\sqrt{xy)+y}

simplify

x - 2 x y + y x + 2 x y + y

(x + y - 2 x y) (x + y + 2 x y)

Solution steps

x - 2 x y + y x + 2 x y + y

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x + y - 2 x y x + y + 2 x y = (x + y - 2 x y) (x + y + 2 x y)

= (x + y - 2 x y) (x + y + 2 x y)

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

10 e^{- 3 t}

π (30.16 \cdot 1 0^{- 3})

4^{s i n (2 x)} 4 ln (2) cos (2 x)

1 + x^{^{'}}

What is sqrt(x-2\sqrt{xy)+y}sqrt(x+2\sqrt{xy)+y} ?
The solution to sqrt(x-2\sqrt{xy)+y}sqrt(x+2\sqrt{xy)+y} is sqrt((x+y-2\sqrt{xy))(x+y+2sqrt(xy))}