What is expand (8s-3t)^3 ?

The solution to expand (8s-3t)^3 is 512s^3-576s^2t+216st^2-27t^3

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expand (8s-3t)^3

expand

(8 s - 3 t)^{3}

512 s^{3} - 576 s^{2} t + 216 s t^{2} - 27 t^{3}

Solution steps

(8 s - 3 t)^{3}

Apply Perfect Cube Formula:

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

(8 s - 3 t)^{3} = (8 s)^{3} - 3 (8 s)^{2} \cdot 3 t + 3 \cdot 8 s (3 t)^{2} - (3 t)^{3}

= (8 s)^{3} - 3 (8 s)^{2} \cdot 3 t + 3 \cdot 8 s (3 t)^{2} - (3 t)^{3}

Simplify

(8 s)^{3} - 3 (8 s)^{2} \cdot 3 t + 3 \cdot 8 s (3 t)^{2} - (3 t)^{3} : 512 s^{3} - 576 s^{2} t + 216 s t^{2} - 27 t^{3}

= 512 s^{3} - 576 s^{2} t + 216 s t^{2} - 27 t^{3}

(x + y)^{23}

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

- 4 k^{4} - 20 x^{3} + 24 k^{2}

x^{2} + 2 3 x - 24

3 a \cdot b^{3} a^{2} \cdot 2 b^{2}

What is expand (8s-3t)^3 ?
The solution to expand (8s-3t)^3 is 512s^3-576s^2t+216st^2-27t^3