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Simplifying z = (3x + 3y + -1)(3x + 3y + -1) Reorder the terms: z = (-1 + 3x + 3y)(3x + 3y + -1) Reorder the terms: z = (-1 + 3x + 3y)(-1 + 3x + 3y) Multiply (-1 + 3x + 3y) * (-1 + 3x + 3y) z = (-1(-1 + 3x + 3y) + 3x * (-1 + 3x + 3y) + 3y * (-1 + 3x + 3y)) z = ((-1 * -1 + 3x * -1 + 3y * -1) + 3x * (-1 + 3x + 3y) + 3y * (-1 + 3x + 3y)) z = ((1 + -3x + -3y) + 3x * (-1 + 3x + 3y) + 3y * (-1 + 3x + 3y)) z = (1 + -3x + -3y + (-1 * 3x + 3x * 3x + 3y * 3x) + 3y * (-1 + 3x + 3y)) Reorder the terms: z = (1 + -3x + -3y + (-3x + 9xy + 9x2) + 3y * (-1 + 3x + 3y)) z = (1 + -3x + -3y + (-3x + 9xy + 9x2) + 3y * (-1 + 3x + 3y)) z = (1 + -3x + -3y + -3x + 9xy + 9x2 + (-1 * 3y + 3x * 3y + 3y * 3y)) Reorder the terms: z = (1 + -3x + -3y + -3x + 9xy + 9x2 + (9xy + -3y + 9y2)) z = (1 + -3x + -3y + -3x + 9xy + 9x2 + (9xy + -3y + 9y2)) Reorder the terms: z = (1 + -3x + -3x + 9xy + 9xy + 9x2 + -3y + -3y + 9y2) Combine like terms: -3x + -3x = -6x z = (1 + -6x + 9xy + 9xy + 9x2 + -3y + -3y + 9y2) Combine like terms: 9xy + 9xy = 18xy z = (1 + -6x + 18xy + 9x2 + -3y + -3y + 9y2) Combine like terms: -3y + -3y = -6y z = (1 + -6x + 18xy + 9x2 + -6y + 9y2) Solving z = 1 + -6x + 18xy + 9x2 + -6y + 9y2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = 1 + -6x + 18xy + 9x2 + -6y + 9y2
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