Question

(x+1/x) (x+1/x ) solve using identity ​

Answer 1

Answer:

Given expression,

 (x+1)*(x-1)*(x²+1)

=[(x+1)*(x-1)]*(x²+1)

Using formula (a=b)*(a-b)=a²-b²

Substituting x in place of a and 1 in place of b

Therefore,

 (x+1)*(x-1)

=(x)²-(1)²

 =x²-1

Therefore,

 [(x+1)*(x-1)]*(x²+1)

=[x²-1]*(x²+1) 

=(x²-1)(x²+1)

Using formula

(a=b)*(a-b)=a²-b²

Substituting x² in place of a and 1 in place of b,

Therefore,

 (x²-1)*(x²+1)

=(x²)²-(1)²

= x⁴-1

Hope it helps