UPSEE Solved Model Paper 3

Since, RHS is an even integer.
Then LHS is an even integer.
So, either both x and y are even integers or both of there are odd integers.
Now, x4−y4 = (x−y)(x+y)(x2+y2)
⇒x−y,x+y,x2+y2 must be an even integer.
Therefore, (x−y)(x+y)(x2+y2) must be divisible by 8 and but RHS is not divisible by 8.
Hence, the given equation has no solution.