What is expand (s^2+2t)^3 ?

The solution to expand (s^2+2t)^3 is s^6+6s^4t+12s^2t^2+8t^3

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expand (s^2+2t)^3

expand

(s^{2} + 2 t)^{3}

s^{6} + 6 s^{4} t + 12 s^{2} t^{2} + 8 t^{3}

Solution steps

(s^{2} + 2 t)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(s^{2} + 2 t)^{3} = (s^{2})^{3} + 3 (s^{2})^{2} \cdot 2 t + 3 s^{2} (2 t)^{2} + (2 t)^{3}

= (s^{2})^{3} + 3 (s^{2})^{2} \cdot 2 t + 3 s^{2} (2 t)^{2} + (2 t)^{3}

Simplify

(s^{2})^{3} + 3 (s^{2})^{2} \cdot 2 t + 3 s^{2} (2 t)^{2} + (2 t)^{3} : s^{6} + 6 s^{4} t + 12 s^{2} t^{2} + 8 t^{3}

= s^{6} + 6 s^{4} t + 12 s^{2} t^{2} + 8 t^{3}

(2 x + 3) (3 x + 5)

\frac{9}{36}

\frac{11}{1 - i}

1 x + 5 x

5 (10 - 9 p)

What is expand (s^2+2t)^3 ?
The solution to expand (s^2+2t)^3 is s^6+6s^4t+12s^2t^2+8t^3