What is expand (sqrt(x)-sqrt(y))^3 ?

The solution to expand (sqrt(x)-sqrt(y))^3 is xsqrt(x)-3xsqrt(y)+3ysqrt(x)-ysqrt(y)

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expand (sqrt(x)-sqrt(y))^3

expand

(x - y)^{3}

x x - 3 x y + 3 y x - y y

Solution steps

(x - y)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(x - y)^{3} = (x)^{3} - 3 (x)^{2} y + 3 x (y)^{2} - (y)^{3}

= (x)^{3} - 3 (x)^{2} y + 3 x (y)^{2} - (y)^{3}

Simplify

(x)^{3} - 3 (x)^{2} y + 3 x (y)^{2} - (y)^{3} : x x - 3 x y + 3 y x - y y

= x x - 3 x y + 3 y x - y y

\frac{1}{( x + 1 ) ln ( x + 1 )}

\frac{- 3 s ^{2} + 9 s + 18}{( s ^{2} - 4 ) ( s - 3 ) ( s + 1 )}

(4 x + \frac{1}{3}) (4 x - \frac{1}{3})

+ P (- 1, 8) y Q (5, - 6)

2 y (1 - 2 x^{2}) e^{- x^{2} - y^{2}}

What is expand (sqrt(x)-sqrt(y))^3 ?
The solution to expand (sqrt(x)-sqrt(y))^3 is xsqrt(x)-3xsqrt(y)+3ysqrt(x)-ysqrt(y)