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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Simplify

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

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

\frac{6}{4}

- \frac{2 n - 3}{4} - \frac{1}{2}

\frac{1}{\frac{1}{2}}

∣ x - 2 ∣ > 3

2 (x + 3)^{2} - 5 = - 5

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