Factories the following

x⁴ – y⁴

In expression x⁴ – y⁴

Both terms are perfect square

⇒ x⁴ = x² × x²

⇒ y⁴ = y² × y²

∴ x⁴ – y⁴ Seems to be in identity a²-b² = (a + b)(a-b)

Where a = x² and b = y²;

x⁴ – y⁴ = (x² – y²)( x² + y²),

∴ x² – y² Seems to be in identity a²-b² = (a + b)(a-b)

Where a = x and b = y;

x² – y² = (x– y)( x+ y),

⇒ x⁴ – y⁴ = (x– y)( x+ y), ( x² + y²)

Hence the factors of x⁴ – y⁴ are (x– y),( x+ y) and ( x² + y²)