What is expand (c+2pi)^3 ?

The solution to expand (c+2pi)^3 is c^3+6pic^2+12pi^2c+8pi^3

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expand (c+2pi)^3

expand

(c + 2 π)^{3}

c^{3} + 6 π c^{2} + 12 π^{2} c + 8 π^{3}

Solution steps

(c + 2 π)^{3}

Apply Perfect Cube Formula:

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

a = c, b = 2 π

= c^{3} + 3 c^{2} \cdot 2 π + 3 c (2 π)^{2} + (2 π)^{3}

Simplify

c^{3} + 3 c^{2} \cdot 2 π + 3 c (2 π)^{2} + (2 π)^{3} : c^{3} + 6 π c^{2} + 12 π^{2} c + 8 π^{3}

= c^{3} + 6 π c^{2} + 12 π^{2} c + 8 π^{3}

(2 y - 16 x) \frac{d y}{d x}

9 d y + (36 y - 48 e^{3 t}) d t

e^{a + 1} (a + 2)

- 2 (3 x - 2 y = 4)

(2 x - 3 y + 4) d x + 3 (x - 1) d y

What is expand (c+2pi)^3 ?
The solution to expand (c+2pi)^3 is c^3+6pic^2+12pi^2c+8pi^3