Factories the following

x²y² – 64

In given expression

Both terms are perfect square

⇒ y²x² = xy × xy

⇒ 64 = 8 × 8

∴ x²y² – 64 Seems to be in identity a²-b² = (a + b)(a-b)

Where a = xy and b = 8;

x²y² – 64 = (xy-8)(xy + 8)

Hence the factors of x²y² – 64 are (xy-8) and (xy + 8)