Please answer this question. its urgent.

Factorize : x4+ 1/x4 +1

i) I suppose your question is to factorize: (x^4) + {1/(x^4)} + 1

ii) Adding and subtracting 1, it is: (x^4) + {1/(x^4)} + 2 - 1

==> = (x² + 1/x²)² - 1

iii) Applying a² - b² = (a + b)(a - b),

this is = {x² + (1/x²) + 1}*{x² + (1/x²) - 1}

x^4+ 1/x^4 +1
= x^44 + 2 + 1/x^44 + 1 – 2
= x^4 + 2 + 1/x^4 – 1
= (x^2 + 1/x^2)² – (1)²
= (x^2 + 1/x^2 + 1)(x^2 + 1/x^2 – 1)
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x^4+ 1/x^4 +1
= 1/x^4(x^8 + x^4 + 1)
= 1/x^4(x^4 - x^2 + 1)(x^4 + x^2 + 1)
= 1/x^4(x^2 - x + 1)(x^2 + x + 1)(x^4 - x^2 + 1)

((x^2-x+1)(x^2+x+1)(x^4-x^2+1))/x^4