What is expand (-60x^4-4x^3+6x^2+9)/((4x+1)^2) ?

The solution to expand (-60x^4-4x^3+6x^2+9)/((4x+1)^2) is (-60x^4-4x^3+6x^2+9)/(16x^2+8x+1)

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expand (-60x^4-4x^3+6x^2+9)/((4x+1)^2)

expand

\frac{- 60 x ^{4} - 4 x ^{3} + 6 x ^{2} + 9}{( 4 x + 1 ) ^{2}}

\frac{- 60 x ^{4} - 4 x ^{3} + 6 x ^{2} + 9}{16 x ^{2} + 8 x + 1}

Solution steps

\frac{- 60 x ^{4} - 4 x ^{3} + 6 x ^{2} + 9}{( 4 x + 1 ) ^{2}}

(4 x + 1)^{2} = 16 x^{2} + 8 x + 1

= \frac{- 60 x ^{4} - 4 x ^{3} + 6 x ^{2} + 9}{16 x ^{2} + 8 x + 1}

\frac{1200 ( - e ^{- 2 s} + 1 )}{s}

ln (3 r^{2} s)

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

\frac{( 5 cos ( 5 x ) )}{( ( 2 x + 1 ) ^{4} ( 3 x ^{2} - 5 ) ^{3} )}

(y sec^{2} (x) + sec (x) tan (x)) d x

What is expand (-60x^4-4x^3+6x^2+9)/((4x+1)^2) ?
The solution to expand (-60x^4-4x^3+6x^2+9)/((4x+1)^2) is (-60x^4-4x^3+6x^2+9)/(16x^2+8x+1)