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Simplifying 8x2 + -1y2 = (2x + -1y)(4x2 + 2xy + y2) Reorder the terms: 8x2 + -1y2 = (2x + -1y)(2xy + 4x2 + y2) Multiply (2x + -1y) * (2xy + 4x2 + y2) 8x2 + -1y2 = (2x * (2xy + 4x2 + y2) + -1y * (2xy + 4x2 + y2)) 8x2 + -1y2 = ((2xy * 2x + 4x2 * 2x + y2 * 2x) + -1y * (2xy + 4x2 + y2)) Reorder the terms: 8x2 + -1y2 = ((2xy2 + 4x2y + 8x3) + -1y * (2xy + 4x2 + y2)) 8x2 + -1y2 = ((2xy2 + 4x2y + 8x3) + -1y * (2xy + 4x2 + y2)) 8x2 + -1y2 = (2xy2 + 4x2y + 8x3 + (2xy * -1y + 4x2 * -1y + y2 * -1y)) 8x2 + -1y2 = (2xy2 + 4x2y + 8x3 + (-2xy2 + -4x2y + -1y3)) Reorder the terms: 8x2 + -1y2 = (2xy2 + -2xy2 + 4x2y + -4x2y + 8x3 + -1y3) Combine like terms: 2xy2 + -2xy2 = 0 8x2 + -1y2 = (0 + 4x2y + -4x2y + 8x3 + -1y3) 8x2 + -1y2 = (4x2y + -4x2y + 8x3 + -1y3) Combine like terms: 4x2y + -4x2y = 0 8x2 + -1y2 = (0 + 8x3 + -1y3) 8x2 + -1y2 = (8x3 + -1y3) Solving 8x2 + -1y2 = 8x3 + -1y3 Solving for variable 'x'. Reorder the terms: 8x2 + -8x3 + -1y2 + y3 = 8x3 + -1y3 + -8x3 + y3 Reorder the terms: 8x2 + -8x3 + -1y2 + y3 = 8x3 + -8x3 + -1y3 + y3 Combine like terms: 8x3 + -8x3 = 0 8x2 + -8x3 + -1y2 + y3 = 0 + -1y3 + y3 8x2 + -8x3 + -1y2 + y3 = -1y3 + y3 Combine like terms: -1y3 + y3 = 0 8x2 + -8x3 + -1y2 + y3 = 0 The solution to this equation could not be determined.
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