What is ((2x^{-4}-6x^5+4x^2))/((2x^2)) ?

The solution to ((2x^{-4}-6x^5+4x^2))/((2x^2)) is (1-3x^9+2x^6)/(x^6)

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simplify ((2x^{-4}-6x^5+4x^2))/((2x^2))

simplify

\frac{( 2 x ^{- 4} - 6 x ^{5} + 4 x ^{2} )}{( 2 x ^{2} )}

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

Solution steps

\frac{2 x ^{- 4} - 6 x ^{5} + 4 x ^{2}}{2 x ^{2}}

2 x^{- 4} = \frac{2}{x ^{4}}

= \frac{\frac{2}{x ^{4}} - 6 x ^{5} + 4 x ^{2}}{2 x ^{2}}

Join

\frac{2}{x ^{4}} - 6 x^{5} + 4 x^{2} : \frac{2 - 6 x ^{9} + 4 x ^{6}}{x ^{4}}

= \frac{\frac{2 - 6 x ^{9} + 4 x ^{6}}{x ^{4}}}{2 x ^{2}}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{2 - 6 x ^{9} + 4 x ^{6}}{x ^{4} \cdot 2 x ^{2}}

Factor

2 - 6 x^{9} + 4 x^{6} : 2 (1 - 3 x^{9} + 2 x^{6})

= \frac{2 ( 1 - 3 x ^{9} + 2 x ^{6} )}{x ^{4} \cdot 2 x ^{2}}

Divide the numbers:

\frac{2}{2} = 1

= \frac{1 - 3 x ^{9} + 2 x ^{6}}{x ^{4} x ^{2}}

x^{4} x^{2} = x^{6}

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

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

12 x^{2} y + 4 x^{2}

6.91 x 1 0^{2} + (- 7.2) x 1 0^{2}

2 x^{2} + 4 x + 2 - 2 y^{2}

1.05 x \cdot 1 0^{7} \cdot j - 4.21 x \cdot 1 0^{5} \cdot j

What is ((2x^{-4}-6x^5+4x^2))/((2x^2)) ?
The solution to ((2x^{-4}-6x^5+4x^2))/((2x^2)) is (1-3x^9+2x^6)/(x^6)