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Simplifying (x2 + 2xy + y2)(x + y) = 216 Reorder the terms: (2xy + x2 + y2)(x + y) = 216 Multiply (2xy + x2 + y2) * (x + y) (2xy * (x + y) + x2(x + y) + y2(x + y)) = 216 ((x * 2xy + y * 2xy) + x2(x + y) + y2(x + y)) = 216 Reorder the terms: ((2xy2 + 2x2y) + x2(x + y) + y2(x + y)) = 216 ((2xy2 + 2x2y) + x2(x + y) + y2(x + y)) = 216 (2xy2 + 2x2y + (x * x2 + y * x2) + y2(x + y)) = 216 Reorder the terms: (2xy2 + 2x2y + (x2y + x3) + y2(x + y)) = 216 (2xy2 + 2x2y + (x2y + x3) + y2(x + y)) = 216 (2xy2 + 2x2y + x2y + x3 + (x * y2 + y * y2)) = 216 (2xy2 + 2x2y + x2y + x3 + (xy2 + y3)) = 216 Reorder the terms: (2xy2 + xy2 + 2x2y + x2y + x3 + y3) = 216 Combine like terms: 2xy2 + xy2 = 3xy2 (3xy2 + 2x2y + x2y + x3 + y3) = 216 Combine like terms: 2x2y + x2y = 3x2y (3xy2 + 3x2y + x3 + y3) = 216 Solving 3xy2 + 3x2y + x3 + y3 = 216 Solving for variable 'x'. Reorder the terms: -216 + 3xy2 + 3x2y + x3 + y3 = 216 + -216 Combine like terms: 216 + -216 = 0 -216 + 3xy2 + 3x2y + x3 + y3 = 0 The solution to this equation could not be determined.
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