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Simplifying V(X) = (20 + -2X)(40 + -2X)(X) Multiply V * X VX = (20 + -2X)(40 + -2X)(X) Reorder the terms for easier multiplication: VX = X(20 + -2X)(40 + -2X) Multiply (20 + -2X) * (40 + -2X) VX = X(20(40 + -2X) + -2X * (40 + -2X)) VX = X((40 * 20 + -2X * 20) + -2X * (40 + -2X)) VX = X((800 + -40X) + -2X * (40 + -2X)) VX = X(800 + -40X + (40 * -2X + -2X * -2X)) VX = X(800 + -40X + (-80X + 4X2)) Combine like terms: -40X + -80X = -120X VX = X(800 + -120X + 4X2) VX = (800 * X + -120X * X + 4X2 * X) VX = (800X + -120X2 + 4X3) Solving VX = 800X + -120X2 + 4X3 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Divide each side by 'X'. V = 800 + -120X + 4X2 Simplifying V = 800 + -120X + 4X2
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