What is expand (6x^5+3x^4-7x^3+5x^2-8)/(x^2*(3x^2-2)) ?

The solution to expand (6x^5+3x^4-7x^3+5x^2-8)/(x^2*(3x^2-2)) is (6x^5+3x^4-7x^3+5x^2-8)/(3x^4-2x^2)

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expand (6x^5+3x^4-7x^3+5x^2-8)/(x^2*(3x^2-2))

expand

\frac{6 x ^{5} + 3 x ^{4} - 7 x ^{3} + 5 x ^{2} - 8}{x ^{2} \cdot ( 3 x ^{2} - 2 )}

\frac{6 x ^{5} + 3 x ^{4} - 7 x ^{3} + 5 x ^{2} - 8}{3 x ^{4} - 2 x ^{2}}

Solution steps

\frac{6 x ^{5} + 3 x ^{4} - 7 x ^{3} + 5 x ^{2} - 8}{x ^{2} ( 3 x ^{2} - 2 )}

Expand

x^{2} (3 x^{2} - 2) : 3 x^{4} - 2 x^{2}

= \frac{6 x ^{5} + 3 x ^{4} - 7 x ^{3} + 5 x ^{2} - 8}{3 x ^{4} - 2 x ^{2}}

\frac{( 3 x ) !}{( 3 ( x + 1 ) ) !}

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

\frac{8}{( s + 1 ) ( s ^{2} + 4 )}

\frac{ln ( ( x - 7 ) ( x - 9 ) )}{ln ( a x + b )}

\frac{( x ^{2} y + x y ^{2} ) ^{2}}{x y + x + y}

What is expand (6x^5+3x^4-7x^3+5x^2-8)/(x^2*(3x^2-2)) ?
The solution to expand (6x^5+3x^4-7x^3+5x^2-8)/(x^2*(3x^2-2)) is (6x^5+3x^4-7x^3+5x^2-8)/(3x^4-2x^2)