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

The solution to expand 1/((1+2(z+t))^3) is 1/(8z^3+24z^2t+12z^2+24zt^2+24zt+6z+8t^3+12t^2+6t+1)

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expand 1/((1+2(z+t))^3)

expand

\frac{1}{( 1 + 2 ( z + t ) ) ^{3}}

\frac{1}{8 z ^{3} + 24 z ^{2} t + 12 z ^{2} + 24 z t ^{2} + 24 z t + 6 z + 8 t ^{3} + 12 t ^{2} + 6 t + 1}

Solution steps

\frac{1}{( 1 + 2 ( z + t ) ) ^{3}}

(1 + 2 (z + t))^{3} = 8 z^{3} + 24 z^{2} t + 12 z^{2} + 24 z t^{2} + 24 z t + 6 z + 8 t^{3} + 12 t^{2} + 6 t + 1

= \frac{1}{8 z ^{3} + 24 z ^{2} t + 12 z ^{2} + 24 z t ^{2} + 24 z t + 6 z + 8 t ^{3} + 12 t ^{2} + 6 t + 1}

ln (α e^{x} + (1 - α) e^{y})

π (3 x + 2)^{2}

\frac{25}{s ^{2} ( s ^{2} + 2 s + 5 )}

4 (\frac{1}{2})^{3} (- 3 a)

\frac{3}{( s - 2 ) ^{4}}

What is expand 1/((1+2(z+t))^3) ?
The solution to expand 1/((1+2(z+t))^3) is 1/(8z^3+24z^2t+12z^2+24zt^2+24zt+6z+8t^3+12t^2+6t+1)