x 2 y 2 (x – y) (x + 2y) = x 2 y 2 (x 2 + 2xy – xy – 2y 2 ) = x 2 y 2 (x 2 + xy – 2y 2 ) = x 4 y 2 + x 3 y 3 – 2x 2 y 4

Simplify:

x²y² (x – y) (x + 2y)

= x²y² (x² + 2xy – xy – 2y²)

= x²y² (x² + xy – 2y²)

= x⁴y² + x³y³ – 2x²y⁴