Question

x²+1/x²+2*x*1/x=?

plz yar guys help me ​

Answer 1

ANSWER:

x² + 1/x² + 2*x*1/x = x² + 1/x² + 2

This identity is used for (x+1/x)².

HOPES IT HELPS!

Answer 2

Answer:

$( \ x \ + \ \frac{1}{x} \ )^2 \ = \ x^2 \ + \ \frac{1}{x^2} \ + \ 2 \ \times \ x \ \times \frac{1}{x}$

Step-by-step explanation:

Given :

To factorize,

$x^2+\frac{1}{x^2}+2\times x \times \frac{1}{x}$

Solution :

We know that,

$( \ a \ + \ b \ )^2 = \ a^2 \ + \ 2ab \ + \ b^2$

By substituting $a \ = \ x$ & $b \ = \ \frac{1}{x}$,

We get,

⇒ $( \ x \ + \ \frac{1}{x} \ )^2 \ = \ x^2 \ + \ \frac{1}{x^2} \ + \ 2 \ \times \ x \ \times \frac{1}{x}$