What is expand (2x^3-x^2)/((4x^2+4x+5)^2) ?

The solution to expand (2x^3-x^2)/((4x^2+4x+5)^2) is (2x^3-x^2)/(16x^4+32x^3+56x^2+40x+25)

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expand (2x^3-x^2)/((4x^2+4x+5)^2)

expand

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

\frac{2 x ^{3} - x ^{2}}{16 x ^{4} + 32 x ^{3} + 56 x ^{2} + 40 x + 25}

Solution steps

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

(4 x^{2} + 4 x + 5)^{2} = 16 x^{4} + 32 x^{3} + 56 x^{2} + 40 x + 25

= \frac{2 x ^{3} - x ^{2}}{16 x ^{4} + 32 x ^{3} + 56 x ^{2} + 40 x + 25}

(2 y - x) d x

\frac{- 2 ( x + y ) + 3}{( x + y )}

e^{x} \cdot cos (2 x) (e^{x} \cdot sin (2 x) + 2 e^{x} \cdot cos (2 x))

\frac{x ^{3} + 5 x ^{2} - 15 x + 125}{( x - 5 ) ( x + 5 ) ( x + 25 )}

(- 1 + 2 x) e^{x^{2}} (e^{1 - x^{2}} - e^{1 - x})

What is expand (2x^3-x^2)/((4x^2+4x+5)^2) ?
The solution to expand (2x^3-x^2)/((4x^2+4x+5)^2) is (2x^3-x^2)/(16x^4+32x^3+56x^2+40x+25)