Question

Factorise the Polynomial x^2-2+1/x^2-y^2

Answer 1

Answer:

I will give you later this answer and explanation

Answer 2

Answer:

x^{2}+\frac{1}{x^{2}}+2-2x-\frac{2}{x}\\=\big(x+\frac{1}{x}\big)\big(x+\frac{1}{x}-2\big)

Step-by-step explanation:

Given ,\\x^{2}+\frac{1}{x^{2}}+2-2x-\frac{2}{x}  

=x^{2}+\frac{1}{x^{2}}+2\times x \times \frac{1}{x}-2x-\frac{2}{x}

=\big(x+\frac{1}{x}\big)^{2}-2\big(x+\frac{1}{x}\big)  

=\big(x+\frac{1}{x}\big)\big(x+\frac{1}{x}-2\big)  

Therefore,  

x^{2}+\frac{1}{x^{2}}+2-2x-\frac{2}{x}\\=\big(x+\frac{1}{x}\big)\big(x+\frac{1}{x}-2\big)

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