What is factor x^{7/2}-x^{3/2} ?

The solution to factor x^{7/2}-x^{3/2} is x^{3/2}(x+1)(sqrt(x)+1)(sqrt(x)-1)

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factor x^{7/2}-x^{3/2}

factor

x^{\frac{7}{2}} - x^{\frac{3}{2}}

x^{\frac{3}{2}} (x + 1) (x + 1) (x - 1)

Solution steps

x^{\frac{7}{2}} - x^{\frac{3}{2}}

Rewrite

x^{\frac{7}{2}}

(x)^{7}

= (x)^{7} - x^{\frac{3}{2}}

Rewrite

x^{\frac{3}{2}}

(x)^{3}

= (x)^{7} - (x)^{3}

Factor out common term

(x)^{3} : (x)^{3} ((x)^{4} - 1)

= (x)^{3} ((x)^{4} - 1)

Factor

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

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

Simplify

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

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

(x)^{3} = x^{\frac{3}{2}}

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

5 ∣ x - 3 ∣ > 15

5 b - 4 = 6 (b + 2)

13 = \frac{8}{9} y - (- 5)

- 7 - (- 3)

r^{2} - 6 r + 25 = 0

What is factor x^{7/2}-x^{3/2} ?
The solution to factor x^{7/2}-x^{3/2} is x^{3/2}(x+1)(sqrt(x)+1)(sqrt(x)-1)