What is factor 3x^{3/2}-9x^{1/2}-6x^{-1/2} ?

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

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factor 3x^{3/2}-9x^{1/2}-6x^{-1/2}

factor

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

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

Solution steps

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

Factor out common term

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

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

∣ x + 4 ∣ > 1

7 x^{2} + x = 4 x^{2} - x + 1

10 x^{2} - 19 x + 6

\frac{x}{8} = \frac{6}{4}

3 - y = 2

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