What is expand (3t^2-8t+5)/((t+1)^4) ?

The solution to expand (3t^2-8t+5)/((t+1)^4) is (3t^2-8t+5)/(t^4+4t^3+6t^2+4t+1)

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expand (3t^2-8t+5)/((t+1)^4)

expand

\frac{3 t ^{2} - 8 t + 5}{( t + 1 ) ^{4}}

\frac{3 t ^{2} - 8 t + 5}{t ^{4} + 4 t ^{3} + 6 t ^{2} + 4 t + 1}

Solution steps

\frac{3 t ^{2} - 8 t + 5}{( t + 1 ) ^{4}}

(t + 1)^{4} = t^{4} + 4 t^{3} + 6 t^{2} + 4 t + 1

= \frac{3 t ^{2} - 8 t + 5}{t ^{4} + 4 t ^{3} + 6 t ^{2} + 4 t + 1}

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

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

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

(x^{2} + 2 x + 1)^{6}

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

What is expand (3t^2-8t+5)/((t+1)^4) ?
The solution to expand (3t^2-8t+5)/((t+1)^4) is (3t^2-8t+5)/(t^4+4t^3+6t^2+4t+1)