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

The solution to (sqrt(x)+2sqrt(y))^2 is x+4sqrt(x)sqrt(y)+4y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(x + 2 y)^{2}

x + 4 x y + 4 y

Solution steps

(x + 2 y)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(x + 2 y)^{2} = (x)^{2} + 2 x \cdot 2 y + (2 y)^{2}

= (x)^{2} + 2 x \cdot 2 y + (2 y)^{2}

(x)^{2} = x

2 x \cdot 2 y = 4 x y

(2 y)^{2} = 4 y

= x + 4 x y + 4 y

\frac{s}{( s - 1 ) ( s + 1 )}

(2 x^{2} + x - 3) (x + 1)

\frac{L - 11}{( s + 1 ) ( s ^{2} + 1 )}

\frac{2 ( 5 + 2 10 )}{3}

8 3 (a + b) (a^{2} + b^{2}) (a^{4} + b^{4}) + b^{8}

What is (sqrt(x)+2sqrt(y))^2 ?
The solution to (sqrt(x)+2sqrt(y))^2 is x+4sqrt(x)sqrt(y)+4y