What is (sqrt(x)-sqrt(y))^2(sqrt(x)+sqrt(y))^2 ?

The solution to (sqrt(x)-sqrt(y))^2(sqrt(x)+sqrt(y))^2 is x^2-2xy+y^2

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simplify (sqrt(x)-sqrt(y))^2(sqrt(x)+sqrt(y))^2

simplify

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

x^{2} - 2 x y + y^{2}

Solution steps

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

Expand

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

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

Expand

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

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

Distribute parentheses

= xx + x \cdot 2 x y + x y - 2 x y x - 2 x y \cdot 2 x y - 2 x y y + y x + y \cdot 2 x y + yy

Simplify

xx + x \cdot 2 x y + x y - 2 x y x - 2 x y \cdot 2 x y - 2 x y y + y x + y \cdot 2 x y + yy : x^{2} - 2 x y + y^{2}

= x^{2} - 2 x y + y^{2}

2 e^{- x}

x^{2} e^{- 2 x}

cos^{2} (x) sin^{2} (x)

e^{- l n ∣ c o s (x) ∣}

(12 x^{3}) \cdot (4 x)

What is (sqrt(x)-sqrt(y))^2(sqrt(x)+sqrt(y))^2 ?
The solution to (sqrt(x)-sqrt(y))^2(sqrt(x)+sqrt(y))^2 is x^2-2xy+y^2