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Simplifying V(X) = (40 + -2X)(20 + -2X)(X) Multiply V * X VX = (40 + -2X)(20 + -2X)(X) Reorder the terms for easier multiplication: VX = X(40 + -2X)(20 + -2X) Multiply (40 + -2X) * (20 + -2X) VX = X(40(20 + -2X) + -2X * (20 + -2X)) VX = X((20 * 40 + -2X * 40) + -2X * (20 + -2X)) VX = X((800 + -80X) + -2X * (20 + -2X)) VX = X(800 + -80X + (20 * -2X + -2X * -2X)) VX = X(800 + -80X + (-40X + 4X2)) Combine like terms: -80X + -40X = -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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