What is expand (sqrt(x)+5x^2)^2 ?

The solution to expand (sqrt(x)+5x^2)^2 is x+10x^2sqrt(x)+25x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (sqrt(x)+5x^2)^2

expand

(x + 5 x^{2})^{2}

x + 10 x^{2} x + 25 x^{4}

Solution steps

(x + 5 x^{2})^{2}

Apply Perfect Square Formula:

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

(x + 5 x^{2})^{2} = (x)^{2} + 2 x \cdot 5 x^{2} + (5 x^{2})^{2}

= (x)^{2} + 2 x \cdot 5 x^{2} + (5 x^{2})^{2}

Simplify

(x)^{2} + 2 x \cdot 5 x^{2} + (5 x^{2})^{2} : x + 10 x^{2} x + 25 x^{4}

= x + 10 x^{2} x + 25 x^{4}

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

\frac{( x + 1 ) ( x + 3 )}{2}

(\frac{k ( k + 1 )}{2})^{2}

(2 sin (x) + 1) (2 sin (x) - 1)

(e^{t} + t e^{t})^{2}

What is expand (sqrt(x)+5x^2)^2 ?
The solution to expand (sqrt(x)+5x^2)^2 is x+10x^2sqrt(x)+25x^4