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Simplifying y = (x2 + -2x + 10)(x2 + -8x + 20) Reorder the terms: y = (10 + -2x + x2)(x2 + -8x + 20) Reorder the terms: y = (10 + -2x + x2)(20 + -8x + x2) Multiply (10 + -2x + x2) * (20 + -8x + x2) y = (10(20 + -8x + x2) + -2x * (20 + -8x + x2) + x2(20 + -8x + x2)) y = ((20 * 10 + -8x * 10 + x2 * 10) + -2x * (20 + -8x + x2) + x2(20 + -8x + x2)) y = ((200 + -80x + 10x2) + -2x * (20 + -8x + x2) + x2(20 + -8x + x2)) y = (200 + -80x + 10x2 + (20 * -2x + -8x * -2x + x2 * -2x) + x2(20 + -8x + x2)) y = (200 + -80x + 10x2 + (-40x + 16x2 + -2x3) + x2(20 + -8x + x2)) y = (200 + -80x + 10x2 + -40x + 16x2 + -2x3 + (20 * x2 + -8x * x2 + x2 * x2)) y = (200 + -80x + 10x2 + -40x + 16x2 + -2x3 + (20x2 + -8x3 + x4)) Reorder the terms: y = (200 + -80x + -40x + 10x2 + 16x2 + 20x2 + -2x3 + -8x3 + x4) Combine like terms: -80x + -40x = -120x y = (200 + -120x + 10x2 + 16x2 + 20x2 + -2x3 + -8x3 + x4) Combine like terms: 10x2 + 16x2 = 26x2 y = (200 + -120x + 26x2 + 20x2 + -2x3 + -8x3 + x4) Combine like terms: 26x2 + 20x2 = 46x2 y = (200 + -120x + 46x2 + -2x3 + -8x3 + x4) Combine like terms: -2x3 + -8x3 = -10x3 y = (200 + -120x + 46x2 + -10x3 + x4) Solving y = 200 + -120x + 46x2 + -10x3 + x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 200 + -120x + 46x2 + -10x3 + x4
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