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Simplifying y = (x2 + -8x + 16)(x2 + -4x + 5) Reorder the terms: y = (16 + -8x + x2)(x2 + -4x + 5) Reorder the terms: y = (16 + -8x + x2)(5 + -4x + x2) Multiply (16 + -8x + x2) * (5 + -4x + x2) y = (16(5 + -4x + x2) + -8x * (5 + -4x + x2) + x2(5 + -4x + x2)) y = ((5 * 16 + -4x * 16 + x2 * 16) + -8x * (5 + -4x + x2) + x2(5 + -4x + x2)) y = ((80 + -64x + 16x2) + -8x * (5 + -4x + x2) + x2(5 + -4x + x2)) y = (80 + -64x + 16x2 + (5 * -8x + -4x * -8x + x2 * -8x) + x2(5 + -4x + x2)) y = (80 + -64x + 16x2 + (-40x + 32x2 + -8x3) + x2(5 + -4x + x2)) y = (80 + -64x + 16x2 + -40x + 32x2 + -8x3 + (5 * x2 + -4x * x2 + x2 * x2)) y = (80 + -64x + 16x2 + -40x + 32x2 + -8x3 + (5x2 + -4x3 + x4)) Reorder the terms: y = (80 + -64x + -40x + 16x2 + 32x2 + 5x2 + -8x3 + -4x3 + x4) Combine like terms: -64x + -40x = -104x y = (80 + -104x + 16x2 + 32x2 + 5x2 + -8x3 + -4x3 + x4) Combine like terms: 16x2 + 32x2 = 48x2 y = (80 + -104x + 48x2 + 5x2 + -8x3 + -4x3 + x4) Combine like terms: 48x2 + 5x2 = 53x2 y = (80 + -104x + 53x2 + -8x3 + -4x3 + x4) Combine like terms: -8x3 + -4x3 = -12x3 y = (80 + -104x + 53x2 + -12x3 + x4) Solving y = 80 + -104x + 53x2 + -12x3 + x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 80 + -104x + 53x2 + -12x3 + x4
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