What is factor sqrt(x)^3-1 ?

The solution to factor sqrt(x)^3-1 is (sqrt(x)-1)(x+sqrt(x)+1)

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factor sqrt(x)^3-1

factor

x^{3} - 1

(x - 1) (x + x + 1)

Solution steps

(x)^{3} - 1

Rewrite

1

1^{3}

= (x)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(x)^{3} - 1^{3} = (x - 1) ((x)^{2} + x + 1)

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

Simplify

(x - 1) ((x)^{2} + x + 1) : (x - 1) (x + x + 1)

= (x - 1) (x + x + 1)

243 - a^{5} b^{5}

6 e^{3} f - 11 e f

(p + q)^{(n - 2)}

I n (3 q^{7})

2 - 36

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