Find (x + 1) 6 + (x – 1) 6 . Hence or otherwise evaluate .

Question

Philoid · Accepted Answer

We know that-

Hence

Thus,

Replacing b with -b

Now,

Putting a = x & b = 1 in , we get-

putting x = √2

Hence,

Find (x + 1)6 + (x – 1)6. Hence or otherwise evaluate .