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Simplifying V(X) = (12 + -2x)(16 + -2x) * x Multiply V * X VX = (12 + -2x)(16 + -2x) * x Reorder the terms for easier multiplication: VX = x(12 + -2x)(16 + -2x) Multiply (12 + -2x) * (16 + -2x) VX = x(12(16 + -2x) + -2x * (16 + -2x)) VX = x((16 * 12 + -2x * 12) + -2x * (16 + -2x)) VX = x((192 + -24x) + -2x * (16 + -2x)) VX = x(192 + -24x + (16 * -2x + -2x * -2x)) VX = x(192 + -24x + (-32x + 4x2)) Combine like terms: -24x + -32x = -56x VX = x(192 + -56x + 4x2) VX = (192 * x + -56x * x + 4x2 * x) VX = (192x + -56x2 + 4x3) Solving VX = 192x + -56x2 + 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 = 192xX-1 + -56x2X-1 + 4x3X-1 Simplifying V = 192xX-1 + -56x2X-1 + 4x3X-1
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