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

The solution to expand (2-5x)/((2x+1)(x-2)^2) is (2-5x)/(2x^3-7x^2+4x+4)

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expand (2-5x)/((2x+1)(x-2)^2)

expand

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

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

Solution steps

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

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

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

Expand

(2 x + 1) (x^{2} - 4 x + 4) : 2 x^{3} - 7 x^{2} + 4 x + 4

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

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

\frac{10 x}{( z - 1 ) ( z - 0.4 )}

\frac{( x - 4 ) ^{2} ( 125 x - 500 )}{18}

\frac{( ( x + 2 ) x ( x - 1 ) )}{30}

\frac{a ( - 1 - 2 a ^{2} )}{2}

What is expand (2-5x)/((2x+1)(x-2)^2) ?
The solution to expand (2-5x)/((2x+1)(x-2)^2) is (2-5x)/(2x^3-7x^2+4x+4)