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Simplifying y = (x2 + 4x + 8)(x2 + -4x + 8) Reorder the terms: y = (8 + 4x + x2)(x2 + -4x + 8) Reorder the terms: y = (8 + 4x + x2)(8 + -4x + x2) Multiply (8 + 4x + x2) * (8 + -4x + x2) y = (8(8 + -4x + x2) + 4x * (8 + -4x + x2) + x2(8 + -4x + x2)) y = ((8 * 8 + -4x * 8 + x2 * 8) + 4x * (8 + -4x + x2) + x2(8 + -4x + x2)) y = ((64 + -32x + 8x2) + 4x * (8 + -4x + x2) + x2(8 + -4x + x2)) y = (64 + -32x + 8x2 + (8 * 4x + -4x * 4x + x2 * 4x) + x2(8 + -4x + x2)) y = (64 + -32x + 8x2 + (32x + -16x2 + 4x3) + x2(8 + -4x + x2)) y = (64 + -32x + 8x2 + 32x + -16x2 + 4x3 + (8 * x2 + -4x * x2 + x2 * x2)) y = (64 + -32x + 8x2 + 32x + -16x2 + 4x3 + (8x2 + -4x3 + x4)) Reorder the terms: y = (64 + -32x + 32x + 8x2 + -16x2 + 8x2 + 4x3 + -4x3 + x4) Combine like terms: -32x + 32x = 0 y = (64 + 0 + 8x2 + -16x2 + 8x2 + 4x3 + -4x3 + x4) y = (64 + 8x2 + -16x2 + 8x2 + 4x3 + -4x3 + x4) Combine like terms: 8x2 + -16x2 = -8x2 y = (64 + -8x2 + 8x2 + 4x3 + -4x3 + x4) Combine like terms: -8x2 + 8x2 = 0 y = (64 + 0 + 4x3 + -4x3 + x4) y = (64 + 4x3 + -4x3 + x4) Combine like terms: 4x3 + -4x3 = 0 y = (64 + 0 + x4) y = (64 + x4) Solving y = 64 + x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 64 + x4
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