What is expand (3x^2+2)/((x+1)^3) ?

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

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expand (3x^2+2)/((x+1)^3)

expand

\frac{3 x ^{2} + 2}{( x + 1 ) ^{3}}

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

Solution steps

\frac{3 x ^{2} + 2}{( x + 1 ) ^{3}}

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

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

(1 - e^{- 2 s})^{2}

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

\frac{( x - 3 ) \cdot ( x - 5 ) \cdot ( x - 7 )}{48}

\frac{5 x ^{2} + 60 x - 5}{( x + 1 ) ( x - 4 ) ( x + 5 )}

e^{2 - t} U (t - 1)

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