What is factor x^{5/2}-x^{1/2} ?

The solution to factor x^{5/2}-x^{1/2} is sqrt(x)(x+1)(sqrt(x)+1)(sqrt(x)-1)

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factor x^{5/2}-x^{1/2}

factor

x^{\frac{5}{2}} - x^{\frac{1}{2}}

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

Solution steps

x^{\frac{5}{2}} - x^{\frac{1}{2}}

Rewrite

x^{\frac{5}{2}}

(x)^{5}

= (x)^{5} - x^{\frac{1}{2}}

Factor out common term

x : x ((x)^{4} - 1)

= x ((x)^{4} - 1)

Factor

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

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

Simplify

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

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

3 z + \frac{1}{2} = z + \frac{9}{2}

\frac{3 - x}{5} = 2 x - 6

(\frac{2}{x})^{2}

- 16 t^{2} + 6 t + 5 = 0

4 q - 7 = - 8 q + 4

What is factor x^{5/2}-x^{1/2} ?
The solution to factor x^{5/2}-x^{1/2} is sqrt(x)(x+1)(sqrt(x)+1)(sqrt(x)-1)