What is factor 4x^{3/2}-12x^{1/2}+8x^{-1/2} ?

The solution to factor 4x^{3/2}-12x^{1/2}+8x^{-1/2} is 4(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})

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factor 4x^{3/2}-12x^{1/2}+8x^{-1/2}

factor

4 x^{\frac{3}{2}} - 12 x^{\frac{1}{2}} + 8 x^{- \frac{1}{2}}

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

Solution steps

4 x^{\frac{3}{2}} - 12 x^{\frac{1}{2}} + 8 x^{- \frac{1}{2}}

Factor out common term

4 : 4 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 x^{- \frac{1}{2}})

= 4 (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}}}

= 4 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 \cdot \frac{1}{x ^{\frac{1}{2}}})

(5 + 3 i) (5 - 3 i)

0 > x > 10

x^{2} - 6 x - 24 = 0

\frac{2}{15} z - 1 - 9 = 4

∣ 2 x - 5 ∣ < 1

What is factor 4x^{3/2}-12x^{1/2}+8x^{-1/2} ?
The solution to factor 4x^{3/2}-12x^{1/2}+8x^{-1/2} is 4(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})