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Simplifying V = (x + 6)(x + 4)(x + 2) Reorder the terms: V = (6 + x)(x + 4)(x + 2) Reorder the terms: V = (6 + x)(4 + x)(x + 2) Reorder the terms: V = (6 + x)(4 + x)(2 + x) Multiply (6 + x) * (4 + x) V = (6(4 + x) + x(4 + x))(2 + x) V = ((4 * 6 + x * 6) + x(4 + x))(2 + x) V = ((24 + 6x) + x(4 + x))(2 + x) V = (24 + 6x + (4 * x + x * x))(2 + x) V = (24 + 6x + (4x + x2))(2 + x) Combine like terms: 6x + 4x = 10x V = (24 + 10x + x2)(2 + x) Multiply (24 + 10x + x2) * (2 + x) V = (24(2 + x) + 10x * (2 + x) + x2(2 + x)) V = ((2 * 24 + x * 24) + 10x * (2 + x) + x2(2 + x)) V = ((48 + 24x) + 10x * (2 + x) + x2(2 + x)) V = (48 + 24x + (2 * 10x + x * 10x) + x2(2 + x)) V = (48 + 24x + (20x + 10x2) + x2(2 + x)) V = (48 + 24x + 20x + 10x2 + (2 * x2 + x * x2)) V = (48 + 24x + 20x + 10x2 + (2x2 + x3)) Combine like terms: 24x + 20x = 44x V = (48 + 44x + 10x2 + 2x2 + x3) Combine like terms: 10x2 + 2x2 = 12x2 V = (48 + 44x + 12x2 + x3) Solving V = 48 + 44x + 12x2 + x3 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Simplifying V = 48 + 44x + 12x2 + x3
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