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

(4 x - 5 i)^{2}

\frac{\partial}{\partial x} ((y) (x^{2} + y^{2}))

\frac{a - bi}{1 + ( a + bi ) ^{2}}

(a^{2} - \frac{1}{a})^{4}

(7) (2 + 23)

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