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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(x + 2 x)^{2}

x + 4 x x + 4 x^{2}

Solution steps

(x + 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

2 x \cdot 2 x = 4 x x

(2 x)^{2} = 4 x^{2}

= x + 4 x x + 4 x^{2}

2 + \frac{1}{3}

(2^{- 1} + 5^{- 1})^{2}

x^{5} x^{11}

9 (2 x - 5)

(\frac{1}{4} x - 3)^{2}