(3x² + 5xy - 2y²)
3x² + 5xy - 2y² (rewrite the expression) (write 5xy as a difference)
3x² + 6xy - xy - 2y² (factor the expression) (factor out 2x from the expression)
3x x (x + 2y) -y x (x + 2y) (factor the expression) (factor out x + 2y from the expression)
Solution : (x + 2y) x (3x - y)
