Question

Find the continued product (x-1/x)(x+1/x) (x²+1/x²)(x⁴+1/x⁴)

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Answer 1

Answer:

Using identity a²-b²=(a+b)(a-b)

(x²-1²)(x²+1){(x²)²+1}

(x²-1²)(x²+1²){(x²)²+1)

using identity a²-b²=(a+b)(a-b)

{(x²)²-1²}{(x²)²+1²}

(x⁴-1)(x⁴+1)

using identity a²-b²=(a+b)(a-b)

{(x⁴)²-1²}

(x^8 -1)

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