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

The solution to expand (sqrt(x)+2)^3 is xsqrt(x)+6x+12sqrt(x)+8

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expand (sqrt(x)+2)^3

expand

(x + 2)^{3}

x x + 6 x + 12 x + 8

Solution steps

(x + 2)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(x)^{3} + 3 (x)^{2} \cdot 2 + 3 x \cdot 2^{2} + 2^{3} : x x + 6 x + 12 x + 8

= x x + 6 x + 12 x + 8

(y^{3} - y x^{2}) d x + x^{3} d y

(π - x)^{2}

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

\frac{1 + i}{( 1 + i 3 ) ^{4}}

e^{x} (cos (x) + sin (x))

What is expand (sqrt(x)+2)^3 ?
The solution to expand (sqrt(x)+2)^3 is xsqrt(x)+6x+12sqrt(x)+8