What is expand (11x+7)/((2x-1)(x+2)^2) ?

The solution to expand (11x+7)/((2x-1)(x+2)^2) is (11x+7)/(2x^3+7x^2+4x-4)

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expand (11x+7)/((2x-1)(x+2)^2)

expand

\frac{11 x + 7}{( 2 x - 1 ) ( x + 2 ) ^{2}}

\frac{11 x + 7}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

Solution steps

\frac{11 x + 7}{( 2 x - 1 ) ( x + 2 ) ^{2}}

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

= \frac{11 x + 7}{( 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{11 x + 7}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

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

(x^{\frac{3}{2}} - 4)^{3}

2 (e^{- 0.4 t} - e^{- 0.6 t})

2 (ln (- 1) + 1)

(5 + 11 x) x^{4} e^{11 x} + 3

What is expand (11x+7)/((2x-1)(x+2)^2) ?
The solution to expand (11x+7)/((2x-1)(x+2)^2) is (11x+7)/(2x^3+7x^2+4x-4)