Question

x^3+x^2-1/x^2+1/x^3​

Answer 1

Answer:

(x² + 1/x²) (x +1)

Step-by-step explanation:

It's given,

x³ + x² - 1/x² + 1/x³

⇒ x² (x + 1) - 1/x² (1 -x)

⇒ x² (x + 1) + 1/x² (1 + x)

⇒ (x² + 1/x²) (x +1)

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Answer 2

Step-by-step explanation:

x^3 + x^2 - 1 /x^2 +1/x^3

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

=>x^2 (x+1) 1/x^2 ( x+1) .

=>( x^2 +1/x^2 ) ( x+1) ^2