(a^9-b^9)(a^18+a^9b^9+b^18)=

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Solution for (a^9-b^9)(a^18+a^9b^9+b^18)= equation:


Simplifying
(a9 + -1b9)(a18 + a9b9 + b18) = 0

Reorder the terms:
(a9 + -1b9)(a9b9 + a18 + b18) = 0

Multiply (a9 + -1b9) * (a9b9 + a18 + b18)
(a9(a9b9 + a18 + b18) + -1b9 * (a9b9 + a18 + b18)) = 0
((a9b9 * a9 + a18 * a9 + b18 * a9) + -1b9 * (a9b9 + a18 + b18)) = 0

Reorder the terms:
((a9b18 + a18b9 + a27) + -1b9 * (a9b9 + a18 + b18)) = 0
((a9b18 + a18b9 + a27) + -1b9 * (a9b9 + a18 + b18)) = 0
(a9b18 + a18b9 + a27 + (a9b9 * -1b9 + a18 * -1b9 + b18 * -1b9)) = 0
(a9b18 + a18b9 + a27 + (-1a9b18 + -1a18b9 + -1b27)) = 0

Reorder the terms:
(a9b18 + -1a9b18 + a18b9 + -1a18b9 + a27 + -1b27) = 0

Combine like terms: a9b18 + -1a9b18 = 0
(0 + a18b9 + -1a18b9 + a27 + -1b27) = 0
(a18b9 + -1a18b9 + a27 + -1b27) = 0

Combine like terms: a18b9 + -1a18b9 = 0
(0 + a27 + -1b27) = 0
(a27 + -1b27) = 0

Solving
a27 + -1b27 = 0

Solving for variable 'a'.

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

Add 'b27' to each side of the equation.
a27 + -1b27 + b27 = 0 + b27

Combine like terms: -1b27 + b27 = 0
a27 + 0 = 0 + b27
a27 = 0 + b27
Remove the zero:
a27 = b27

Simplifying
a27 = b27

Combine like terms: b27 + -1b27 = 0
a27 + -1b27 = 0

The solution to this equation could not be determined.

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