What is expand (4x+1)/((x+1)^2(x-2)) ?

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

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expand (4x+1)/((x+1)^2(x-2))

expand

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

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

Solution steps

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

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

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

Expand

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

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

- \frac{x + 3}{4 ( y - 1 )}

\frac{20 e ^{4}}{( 1 + e ^{4} ) ^{2}}

\frac{1}{x ^{n} ( x - a )}

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

f (x^{5} - 3 x^{3} + 9) d x

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