Which of the following is a factor of (x + y)³ - (x³ + y³)?

1. x² + xy + 2xy

2. x² + y² - xy

3. xy²

4. 3xy

Consider the following two statements.

Statement 1: The factorisation of x² + 2x + 1 is (x - 1)².

Statement 2: (a - b)² = a² + 2ab + b².

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.