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

The solution to expand (2x^2+9x-2)/((2x+1)^2(2x-1)) is (2x^2+9x-2)/(8x^3+4x^2-2x-1)

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expand (2x^2+9x-2)/((2x+1)^2(2x-1))

expand

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

\frac{2 x ^{2} + 9 x - 2}{8 x ^{3} + 4 x ^{2} - 2 x - 1}

Solution steps

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

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

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

Expand

(4 x^{2} + 4 x + 1) (2 x - 1) : 8 x^{3} + 4 x^{2} - 2 x - 1

= \frac{2 x ^{2} + 9 x - 2}{8 x ^{3} + 4 x ^{2} - 2 x - 1}

A + B^{^{'}} + (x + B) \cdot A

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

y (12 = 8 x - 4 y)

\frac{e + f}{x + a} + \frac{g + h}{( x + a ) ^{2}}

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

What is expand (2x^2+9x-2)/((2x+1)^2(2x-1)) ?
The solution to expand (2x^2+9x-2)/((2x+1)^2(2x-1)) is (2x^2+9x-2)/(8x^3+4x^2-2x-1)