What is factor 7x^{3/2}-21x^{1/2}+14x^{-1/2} ?

The solution to factor 7x^{3/2}-21x^{1/2}+14x^{-1/2} is 7(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})

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factor 7x^{3/2}-21x^{1/2}+14x^{-1/2}

factor

7 x^{\frac{3}{2}} - 21 x^{\frac{1}{2}} + 14 x^{- \frac{1}{2}}

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

Solution steps

7 x^{\frac{3}{2}} - 21 x^{\frac{1}{2}} + 14 x^{- \frac{1}{2}}

Factor out common term

7 : 7 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 x^{- \frac{1}{2}})

= 7 (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}}}

= 7 (x^{\frac{3}{2}} - 3 x^{\frac{1}{2}} + 2 \cdot \frac{1}{x ^{\frac{1}{2}}})

4 - \frac{y}{3} \leq - 6

\frac{3}{4} x + \frac{1}{2} x = \frac{3}{8} x + \frac{1}{4} + 3

(12 x - 27)^{2} = 256

\frac{6}{( x - 2 )} \leq x - 3

- 2 z + 10 + 7 z = 16 z + 7

What is factor 7x^{3/2}-21x^{1/2}+14x^{-1/2} ?
The solution to factor 7x^{3/2}-21x^{1/2}+14x^{-1/2} is 7(x^{3/2}-3x^{1/2}+2*1/(x^{1/2)})