What is expand ((2x^2-x+1)^2sqrt(9x^2+3x-2))/((2x-1)^5) ?

The solution to expand ((2x^2-x+1)^2sqrt(9x^2+3x-2))/((2x-1)^5) is

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expand ((2x^2-x+1)^2sqrt(9x^2+3x-2))/((2x-1)^5)

expand

\frac{( 2 x ^{2} - x + 1 ) ^{2} 9 x ^{2} + 3 x - 2}{( 2 x - 1 ) ^{5}}

\frac{4 x ^{4} 9 x ^{2} + 3 x - 2 - 4 x ^{3} 9 x ^{2} + 3 x - 2 + 5 x ^{2} 9 x ^{2} + 3 x - 2 - 2 x 9 x ^{2} + 3 x - 2 + 9 x ^{2} + 3 x - 2}{32 x ^{5} - 80 x ^{4} + 80 x ^{3} - 40 x ^{2} + 10 x - 1}

Solution steps

\frac{( 2 x ^{2} - x + 1 ) ^{2} 9 x ^{2} + 3 x - 2}{( 2 x - 1 ) ^{5}}

(2 x - 1)^{5} = 32 x^{5} - 80 x^{4} + 80 x^{3} - 40 x^{2} + 10 x - 1

= \frac{( 2 x ^{2} - x + 1 ) ^{2} 9 x ^{2} + 3 x - 2}{32 x ^{5} - 80 x ^{4} + 80 x ^{3} - 40 x ^{2} + 10 x - 1}

(2 x^{2} - x + 1)^{2} = 4 x^{4} - 4 x^{3} + 5 x^{2} - 2 x + 1

= \frac{( 4 x ^{4} - 4 x ^{3} + 5 x ^{2} - 2 x + 1 ) 9 x ^{2} + 3 x - 2}{32 x ^{5} - 80 x ^{4} + 80 x ^{3} - 40 x ^{2} + 10 x - 1}

Expand

(4 x^{4} - 4 x^{3} + 5 x^{2} - 2 x + 1) 9 x^{2} + 3 x - 2 : 4 x^{4} 9 x^{2} + 3 x - 2 - 4 x^{3} 9 x^{2} + 3 x - 2 + 5 x^{2} 9 x^{2} + 3 x - 2 - 2 x 9 x^{2} + 3 x - 2 + 9 x^{2} + 3 x - 2

= \frac{4 x ^{4} 9 x ^{2} + 3 x - 2 - 4 x ^{3} 9 x ^{2} + 3 x - 2 + 5 x ^{2} 9 x ^{2} + 3 x - 2 - 2 x 9 x ^{2} + 3 x - 2 + 9 x ^{2} + 3 x - 2}{32 x ^{5} - 80 x ^{4} + 80 x ^{3} - 40 x ^{2} + 10 x - 1}

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

\frac{675 t + 45 t ^{2} + t ^{3} + C}{( 15 + t ) ^{2}}

- \frac{30}{( 5 x + 1 ) ^{4}}

\frac{- 4 x + 6}{( x - 3 ) ( x - 2 ) ( x - 1 )}

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

What is expand ((2x^2-x+1)^2sqrt(9x^2+3x-2))/((2x-1)^5) ?
The solution to expand ((2x^2-x+1)^2sqrt(9x^2+3x-2))/((2x-1)^5) is