Simplify: (x – 2) (x + 2) (x2 + 4) (x4 + 16)

Simplify: (x – 2) (x + 2) (x² + 4) (x⁴ + 16)

Answer :

Let us simplify the expression, we get

(x – 2) (x + 2) (x⁴ + 4) (x⁴ +16) = (x² – 4) (x⁴ + 4) (x⁴ + 16)

= [(x²)² – (4)²] (x⁴ + 16)

= (x⁴ – 16) (x⁴ + 16)

= (x⁴)² – (16)²

= x⁸ – 256

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