Question

(x to power4 +1/x to power 4)(x + 1/x)​

Answer 1

(x⁴ + 1/x⁴)(x + 1/x)

Now,

(x² - 1/x²)² = x⁴ + 1/x⁴ - 2

so, it becomes

x⁴ + 1/x⁴ = (x² + 1/x²)² + 2

now the question becomes

((x² + 1/x²)² + 2)(x + 1/x)

further solving the question will give you answer: x^5 + 1/x³ + x⁴ + 1/x^5, which is the required answer.

I hope this may help you...

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