Phân tích đa thức thành nhân tử: x(x – y)3 – y(y – x)2 – y2(x – y).

x(x – y)³ – y(y – x)² – y²(x – y)

= x(x – y)³ – y(x – y)² – y²(x – y)

= (x – y)[x(x – y)² – y(x – y) – y²]

= (x – y)(x³ – 2x²y + y²x – xy )

= x(x – y)(x² – 2xy + y² – y)

= x(x – y)[(x – y)² – y]

= x(x – y)(x – y – )(x – y + ).