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

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

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expand (3x^2-t)/((x^2+t)^3)

expand

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

\frac{3 x ^{2} - t}{x ^{6} + 3 x ^{4} t + 3 x ^{2} t ^{2} + t ^{3}}

Solution steps

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

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

= \frac{3 x ^{2} - t}{x ^{6} + 3 x ^{4} t + 3 x ^{2} t ^{2} + t ^{3}}

\frac{16 π ( 125 - 21 21 )}{3}

\frac{d}{d t} ((x (t, C)) (1 - \frac{1}{k \cdot t \cdot C}))

\frac{( 4 y ^{2} + 84 ) + ( y ^{3} - 4 y )}{( y ^{2} - 4 ) ( y + 2 )}

(x - 23) (x + 23) (x^{2} + 25)

(s + 1)^{2}

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