What is (2sqrt(x)+x^3)^2 ?

The solution to (2sqrt(x)+x^3)^2 is 4x+4x^3sqrt(x)+x^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2sqrt(x)+x^3)^2

simplify

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

4 x + 4 x^{3} x + x^{6}

Solution steps

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

Apply Perfect Square Formula:

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

(2 x + x^{3})^{2} = (2 x)^{2} + 2 \cdot 2 x x^{3} + (x^{3})^{2}

= (2 x)^{2} + 2 \cdot 2 x x^{3} + (x^{3})^{2}

(2 x)^{2} = 4 x

2 \cdot 2 x x^{3} = 4 x^{3} x

(x^{3})^{2} = x^{6}

= 4 x + 4 x^{3} x + x^{6}

\frac{1}{( 5 - x ) ^{2}}

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

(a x - b y) (c x + d y)

(5 + 5 i)^{5}

\frac{10}{( x + 2 ) ^{2}}

What is (2sqrt(x)+x^3)^2 ?
The solution to (2sqrt(x)+x^3)^2 is 4x+4x^3sqrt(x)+x^6