What is factor x^{5/2}-9x^{1/2} ?

The solution to factor x^{5/2}-9x^{1/2} is sqrt(x)(x+3)(x-3)

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factor x^{5/2}-9x^{1/2}

factor

x^{\frac{5}{2}} - 9 x^{\frac{1}{2}}

x (x + 3) (x - 3)

Solution steps

x^{\frac{5}{2}} - 9 x^{\frac{1}{2}}

Rewrite

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

(x)^{5}

= (x)^{5} - 9 x^{\frac{1}{2}}

Factor out common term

x : x ((x)^{4} - 9)

= x ((x)^{4} - 9)

Factor

(x)^{4} - 9 : ((x)^{2} + 3) ((x)^{2} - 3)

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

Simplify

x ((x)^{2} + 3) ((x)^{2} - 3) : x (x + 3) (x - 3)

= x (x + 3) (x - 3)

- (\frac{1}{64})^{\frac{1}{3}}

12 (5 + 2 y) = 4 y - (6 - 9 y)

3 r^{2} + 3 r - 3 = 0

9 x^{3} + 27 x^{2} - x - 3

6 s - \frac{4 s - 1}{2} = 3

What is factor x^{5/2}-9x^{1/2} ?
The solution to factor x^{5/2}-9x^{1/2} is sqrt(x)(x+3)(x-3)