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Simplifying (a + b)(a2 + -1ab + b2) = 0 Reorder the terms: (a + b)(-1ab + a2 + b2) = 0 Multiply (a + b) * (-1ab + a2 + b2) (a(-1ab + a2 + b2) + b(-1ab + a2 + b2)) = 0 ((-1ab * a + a2 * a + b2 * a) + b(-1ab + a2 + b2)) = 0 Reorder the terms: ((ab2 + -1a2b + a3) + b(-1ab + a2 + b2)) = 0 ((ab2 + -1a2b + a3) + b(-1ab + a2 + b2)) = 0 (ab2 + -1a2b + a3 + (-1ab * b + a2 * b + b2 * b)) = 0 (ab2 + -1a2b + a3 + (-1ab2 + a2b + b3)) = 0 Reorder the terms: (ab2 + -1ab2 + -1a2b + a2b + a3 + b3) = 0 Combine like terms: ab2 + -1ab2 = 0 (0 + -1a2b + a2b + a3 + b3) = 0 (-1a2b + a2b + a3 + b3) = 0 Combine like terms: -1a2b + a2b = 0 (0 + a3 + b3) = 0 (a3 + b3) = 0 Solving a3 + b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b3' to each side of the equation. a3 + b3 + -1b3 = 0 + -1b3 Combine like terms: b3 + -1b3 = 0 a3 + 0 = 0 + -1b3 a3 = 0 + -1b3 Remove the zero: a3 = -1b3 Simplifying a3 = -1b3 Combine like terms: -1b3 + b3 = 0 a3 + b3 = 0 The solution to this equation could not be determined.
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