What is factor x^{5/2}-16x^{1/2} ?

The solution to factor x^{5/2}-16x^{1/2} is sqrt(x)(x+4)(sqrt(x)+2)(sqrt(x)-2)

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factor x^{5/2}-16x^{1/2}

factor

x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}

x (x + 4) (x + 2) (x - 2)

Solution steps

x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}

Rewrite

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

(x)^{5}

= (x)^{5} - 16 x^{\frac{1}{2}}

Factor out common term

x : x ((x)^{4} - 16)

= x ((x)^{4} - 16)

Factor

(x)^{4} - 16 : ((x)^{2} + 4) (x + 2) (x - 2)

= x ((x)^{2} + 4) (x + 2) (x - 2)

Simplify

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

= x (x + 4) (x + 2) (x - 2)

15

\frac{5}{2} - \frac{3}{4}

x^{2} + 18 x + 80 = 0

x^{2} + 4 x + 13 < 0

- 20

What is factor x^{5/2}-16x^{1/2} ?
The solution to factor x^{5/2}-16x^{1/2} is sqrt(x)(x+4)(sqrt(x)+2)(sqrt(x)-2)