What is factor 6x^{3/2}-18x^{1/2}+12x^{-1/2} ?

The solution to factor 6x^{3/2}-18x^{1/2}+12x^{-1/2} is 6(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})

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factor 6x^{3/2}-18x^{1/2}+12x^{-1/2}

factor

6 x^{\frac{3}{2}} - 18 x^{\frac{1}{2}} + 12 x^{- \frac{1}{2}}

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

Solution steps

6 x^{\frac{3}{2}} - 18 x^{\frac{1}{2}} + 12 x^{- \frac{1}{2}}

Factor out common term

6 : 6 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 x^{- \frac{1}{2}})

= 6 (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}}}

= 6 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 \cdot \frac{1}{x ^{\frac{1}{2}}})

2 (\frac{20}{29}) (\frac{21}{29})

∣ x ∣ + 8 > 9

\frac{4 - ( - 5 )}{4 - ( - 6 )}

8 x^{2} - 6 x = 0

(4 a^{3})^{2}

What is factor 6x^{3/2}-18x^{1/2}+12x^{-1/2} ?
The solution to factor 6x^{3/2}-18x^{1/2}+12x^{-1/2} is 6(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})