(b^3+8c^3)(b-2c)(b^2+2bc+4c^2)=

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Solution for (b^3+8c^3)(b-2c)(b^2+2bc+4c^2)= equation:

Simplifying
(b³ + 8c³)(b + -2c)(b² + 2bc + 4c²) = 0

Reorder the terms:
(b³ + 8c³)(b + -2c)(2bc + b² + 4c²) = 0

Multiply (b³ + 8c³) * (b + -2c)
(b³(b + -2c) + 8c³ * (b + -2c))(2bc + b² + 4c²) = 0
((b * b³ + -2c * b³) + 8c³ * (b + -2c))(2bc + b² + 4c²) = 0

Reorder the terms:
((-2b³c + b⁴) + 8c³ * (b + -2c))(2bc + b² + 4c²) = 0
((-2b³c + b⁴) + 8c³ * (b + -2c))(2bc + b² + 4c²) = 0
(-2b³c + b⁴ + (b * 8c³ + -2c * 8c³))(2bc + b² + 4c²) = 0
(-2b³c + b⁴ + (8bc³ + -16c⁴))(2bc + b² + 4c²) = 0

Reorder the terms:
(8bc³ + -2b³c + b⁴ + -16c⁴)(2bc + b² + 4c²) = 0
(8bc³ + -2b³c + b⁴ + -16c⁴)(2bc + b² + 4c²) = 0

Multiply (8bc³ + -2b³c + b⁴ + -16c⁴) * (2bc + b² + 4c²)
(8bc³ * (2bc + b² + 4c²) + -2b³c * (2bc + b² + 4c²) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0
((2bc * 8bc³ + b² * 8bc³ + 4c² * 8bc³) + -2b³c * (2bc + b² + 4c²) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0

Reorder the terms:
((32bc⁵ + 16b²c⁴ + 8b³c³) + -2b³c * (2bc + b² + 4c²) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0
((32bc⁵ + 16b²c⁴ + 8b³c³) + -2b³c * (2bc + b² + 4c²) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + (2bc * -2b³c + b² * -2b³c + 4c² * -2b³c) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0

Reorder the terms:
(32bc⁵ + 16b²c⁴ + 8b³c³ + (-8b³c³ + -4b⁴c² + -2b⁵c) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + (-8b³c³ + -4b⁴c² + -2b⁵c) + b⁴(2bc + b² + 4c²) + -16c⁴ * (2bc + b² + 4c²)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + -2b⁵c + (2bc * b⁴ + b² * b⁴ + 4c² * b⁴) + -16c⁴ * (2bc + b² + 4c²)) = 0

Reorder the terms:
(32bc⁵ + 16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + -2b⁵c + (4b⁴c² + 2b⁵c + b⁶) + -16c⁴ * (2bc + b² + 4c²)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + -2b⁵c + (4b⁴c² + 2b⁵c + b⁶) + -16c⁴ * (2bc + b² + 4c²)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + -2b⁵c + 4b⁴c² + 2b⁵c + b⁶ + (2bc * -16c⁴ + b² * -16c⁴ + 4c² * -16c⁴)) = 0
(32bc⁵ + 16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + -2b⁵c + 4b⁴c² + 2b⁵c + b⁶ + (-32bc⁵ + -16b²c⁴ + -64c⁶)) = 0

Reorder the terms:
(32bc⁵ + -32bc⁵ + 16b²c⁴ + -16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0

Combine like terms: 32bc⁵ + -32bc⁵ = 0
(0 + 16b²c⁴ + -16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0
(16b²c⁴ + -16b²c⁴ + 8b³c³ + -8b³c³ + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0

Combine like terms: 16b²c⁴ + -16b²c⁴ = 0
(0 + 8b³c³ + -8b³c³ + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0
(8b³c³ + -8b³c³ + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0

Combine like terms: 8b³c³ + -8b³c³ = 0
(0 + -4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0
(-4b⁴c² + 4b⁴c² + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0

Combine like terms: -4b⁴c² + 4b⁴c² = 0
(0 + -2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0
(-2b⁵c + 2b⁵c + b⁶ + -64c⁶) = 0

Combine like terms: -2b⁵c + 2b⁵c = 0
(0 + b⁶ + -64c⁶) = 0
(b⁶ + -64c⁶) = 0

Solving
b⁶ + -64c⁶ = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '64c⁶' to each side of the equation.
b⁶ + -64c⁶ + 64c⁶ = 0 + 64c⁶

Combine like terms: -64c⁶ + 64c⁶ = 0
b⁶ + 0 = 0 + 64c⁶
b⁶ = 0 + 64c⁶
Remove the zero:
b⁶ = 64c⁶

Simplifying
b⁶ = 64c⁶

Combine like terms: 64c⁶ + -64c⁶ = 0
b⁶ + -64c⁶ = 0

Factor a difference between two squares.
(b³ + 8c³)(b³ + -8c³) = 0

Subproblem 1
Set the factor '(b³ + 8c³)' equal to zero and attempt to solve:

Simplifying
b³ + 8c³ = 0

Solving
b³ + 8c³ = 0

Move all terms containing b to the left, all other terms to the right.

Add '-8c³' to each side of the equation.
b³ + 8c³ + -8c³ = 0 + -8c³

Combine like terms: 8c³ + -8c³ = 0
b³ + 0 = 0 + -8c³
b³ = 0 + -8c³
Remove the zero:
b³ = -8c³

Simplifying
b³ = -8c³

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(b³ + -8c³)' equal to zero and attempt to solve:

Simplifying
b³ + -8c³ = 0

Solving
b³ + -8c³ = 0

Move all terms containing b to the left, all other terms to the right.

Add '8c³' to each side of the equation.
b³ + -8c³ + 8c³ = 0 + 8c³

Combine like terms: -8c³ + 8c³ = 0
b³ + 0 = 0 + 8c³
b³ = 0 + 8c³
Remove the zero:
b³ = 8c³

Simplifying
b³ = 8c³

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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(b^3+8c^3)(b-2c)(b^2+2bc+4c^2)=

Simple and best practice solution for (b^3+8c^3)(b-2c)(b^2+2bc+4c^2)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (b^3+8c^3)(b-2c)(b^2+2bc+4c^2)= equation:

Subproblem 1

Subproblem 2

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