What is expand (3d+8e)^3 ?

The solution to expand (3d+8e)^3 is 27d^3+216ed^2+576e^2d+512e^3

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expand (3d+8e)^3

expand

(3 d + 8 e)^{3}

27 d^{3} + 216 e d^{2} + 576 e^{2} d + 512 e^{3}

Solution steps

(3 d + 8 e)^{3}

Apply Perfect Cube Formula:

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

a = 3 d, b = 8 e

= (3 d)^{3} + 3 (3 d)^{2} \cdot 8 e + 3 \cdot 3 d (8 e)^{2} + (8 e)^{3}

Simplify

(3 d)^{3} + 3 (3 d)^{2} \cdot 8 e + 3 \cdot 3 d (8 e)^{2} + (8 e)^{3} : 27 d^{3} + 216 e d^{2} + 576 e^{2} d + 512 e^{3}

= 27 d^{3} + 216 e d^{2} + 576 e^{2} d + 512 e^{3}

- 3 x (3 x + 2 x ln (x))

(\frac{x}{4 y ^{'} ( x )} + y)^{2}

p u n t os (2, - 1) y (\frac{1 , - 9}{7})

\frac{1}{90} (e^{8 x} + 8 e^{8 x} x)

(e^{i θ} + e^{- i θ})^{2}

What is expand (3d+8e)^3 ?
The solution to expand (3d+8e)^3 is 27d^3+216ed^2+576e^2d+512e^3