What is expand (2t-5t^2)/((0.4+t^2)^2) ?

The solution to expand (2t-5t^2)/((0.4+t^2)^2) is (2t-5t^2)/(0.16+0.8t^2+t^4)

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expand (2t-5t^2)/((0.4+t^2)^2)

expand

\frac{2 t - 5 t ^{2}}{( 0.4 + t ^{2} ) ^{2}}

\frac{2 t - 5 t ^{2}}{0.16 + 0.8 t ^{2} + t ^{4}}

Solution steps

\frac{2 t - 5 t ^{2}}{( 0.4 + t ^{2} ) ^{2}}

(0.4 + t^{2})^{2} = 0.16 + 0.8 t^{2} + t^{4}

= \frac{2 t - 5 t ^{2}}{0.16 + 0.8 t ^{2} + t ^{4}}

(1 - e - a t) sin (x)

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

\frac{( x + 5 ) y}{2}

\frac{n ^{2} - 2}{n ( n - 1 )}

\frac{( x ^{11} + 3 ) ^{11}}{x ^{99}}

What is expand (2t-5t^2)/((0.4+t^2)^2) ?
The solution to expand (2t-5t^2)/((0.4+t^2)^2) is (2t-5t^2)/(0.16+0.8t^2+t^4)