What is factor 3x^{3/2}-9sqrt(x)+6x^{-1/2} ?

The solution to factor 3x^{3/2}-9sqrt(x)+6x^{-1/2} is 3(x^{3/2}-3sqrt(x)+2*1/(x^{1/2)})

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factor 3x^{3/2}-9sqrt(x)+6x^{-1/2}

factor

3 x^{\frac{3}{2}} - 9 x + 6 x^{- \frac{1}{2}}

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

Solution steps

3 x^{\frac{3}{2}} - 9 x + 6 x^{- \frac{1}{2}}

Factor out common term

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

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

4 x^{2} + 3 x + 6 = 0

400 d^{2} - 11130 d + 21609

- 2 x - 4

3 x - 5 = 25

4 x^{2} + 5 > x^{2} + 16 x

What is factor 3x^{3/2}-9sqrt(x)+6x^{-1/2} ?
The solution to factor 3x^{3/2}-9sqrt(x)+6x^{-1/2} is 3(x^{3/2}-3sqrt(x)+2*1/(x^{1/2)})