What is expand (2x+4sqrt(x)+1)^2 ?

The solution to expand (2x+4sqrt(x)+1)^2 is 4x^2+16xsqrt(x)+20x+8sqrt(x)+1

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expand (2x+4sqrt(x)+1)^2

expand

(2 x + 4 x + 1)^{2}

4 x^{2} + 16 x x + 20 x + 8 x + 1

Solution steps

(2 x + 4 x + 1)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(2 x + 4 x + 1)^{2} = (2 x + 4 x + 1) (2 x + 4 x + 1)

= (2 x + 4 x + 1) (2 x + 4 x + 1)

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 4 x + 2 x \cdot 1 + 4 x \cdot 2 x + 4 x \cdot 4 x + 4 x \cdot 1 + 1 \cdot 2 x + 1 \cdot 4 x + 1 \cdot 1

Simplify

2 x \cdot 2 x + 2 x \cdot 4 x + 2 x \cdot 1 + 4 x \cdot 2 x + 4 x \cdot 4 x + 4 x \cdot 1 + 1 \cdot 2 x + 1 \cdot 4 x + 1 \cdot 1 : 4 x^{2} + 16 x x + 20 x + 8 x + 1

= 4 x^{2} + 16 x x + 20 x + 8 x + 1

(x - 2 + 6)^{2}

(2 - \frac{2 i}{n})^{2}

8 (arcsin (\frac{x}{4}) + \frac{1}{2} sin (2 arcsin (\frac{x}{4})))

\frac{( a cs + 1 ) ( bk s + 1 )}{s ( a c k s + c bk s + c + k )}

\frac{3 ( 159 + 140 i ) ( 736 x - 420 i x )}{1471369}

What is expand (2x+4sqrt(x)+1)^2 ?
The solution to expand (2x+4sqrt(x)+1)^2 is 4x^2+16xsqrt(x)+20x+8sqrt(x)+1