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Simplifying v(x) = 8x(8 + -1x)(16 + -1x) Multiply v * x vx = 8x(8 + -1x)(16 + -1x) Multiply (8 + -1x) * (16 + -1x) vx = 8x(8(16 + -1x) + -1x * (16 + -1x)) vx = 8x((16 * 8 + -1x * 8) + -1x * (16 + -1x)) vx = 8x((128 + -8x) + -1x * (16 + -1x)) vx = 8x(128 + -8x + (16 * -1x + -1x * -1x)) vx = 8x(128 + -8x + (-16x + 1x2)) Combine like terms: -8x + -16x = -24x vx = 8x(128 + -24x + 1x2) vx = (128 * 8x + -24x * 8x + 1x2 * 8x) vx = (1024x + -192x2 + 8x3) Solving vx = 1024x + -192x2 + 8x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by 'x'. v = 1024 + -192x + 8x2 Simplifying v = 1024 + -192x + 8x2
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