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Simplifying t = (x + y)(2x + -1y) Multiply (x + y) * (2x + -1y) t = (x(2x + -1y) + y(2x + -1y)) t = ((2x * x + -1y * x) + y(2x + -1y)) Reorder the terms: t = ((-1xy + 2x2) + y(2x + -1y)) t = ((-1xy + 2x2) + y(2x + -1y)) t = (-1xy + 2x2 + (2x * y + -1y * y)) t = (-1xy + 2x2 + (2xy + -1y2)) Reorder the terms: t = (-1xy + 2xy + 2x2 + -1y2) Combine like terms: -1xy + 2xy = 1xy t = (1xy + 2x2 + -1y2) Solving t = 1xy + 2x2 + -1y2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Simplifying t = 1xy + 2x2 + -1y2
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