Verify the polynomial identity.

Question

x⁶+x⁴y²-x²y⁴-y⁶=(x²+y²)²(x²-y²)

Answer 1

The easiest way to see this is that the right side is immediately (x⁴ - y⁴)(x² + y²)

Remember: the product of the sum of 2 numbers times the difference of the same 2 numbers is the difference of the squares.