What is expand (sqrt(x)+1)^3 ?

The solution to expand (sqrt(x)+1)^3 is xsqrt(x)+3x+3sqrt(x)+1

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expand (sqrt(x)+1)^3

expand

(x + 1)^{3}

x x + 3 x + 3 x + 1

Solution steps

(x + 1)^{3}

Apply Perfect Cube Formula:

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

(x + 1)^{3} = (x)^{3} + 3 (x)^{2} \cdot 1 + 3 x \cdot 1^{2} + 1^{3}

= (x)^{3} + 3 (x)^{2} \cdot 1 + 3 x \cdot 1^{2} + 1^{3}

Simplify

(x)^{3} + 3 (x)^{2} \cdot 1 + 3 x \cdot 1^{2} + 1^{3} : x x + 3 x + 3 x + 1

= x x + 3 x + 3 x + 1

\frac{1}{( x - 1 ) ( x - 3 )}

(0, - 1) y (1, 1)

cos (x + y) (1 + \frac{d y}{d x})

(b + c) (d - e)

\frac{2}{s ( s + 2 )}

What is expand (sqrt(x)+1)^3 ?
The solution to expand (sqrt(x)+1)^3 is xsqrt(x)+3x+3sqrt(x)+1