Step-by-step explanation:1. 6x² + 3xyFactor: 3x(2x + y) → E2. 24abx + 20abFactor: 4ab(6x + 5) → L3. 15x²y − 6xyFactor: 3xy(5x − 2) → P4. 36ab + 60bFactor: 12b(3a + 5) → N5. 18a² − 24aFactor: 6a(3a − 4) → E6. 12x²y + 12xy² + 12xyzFactor: 12xy(x + y + z) → I7. 3x² − 6x²yFactor: 3x²(x − 2y) → P8. 9x² + 9xyFactor: 9x(x + y) → M9. 16mnx + 28mnFactor: 4mn(4x + 7) → P10. 15x² + 20xFactor: 5x(3x + 4) → ANumber order in puzzle: 3 6 4 1 10 7 9 2 53 → P6 → I4 → N1 → E10 → A7 → P9 → P2 → L5 → EAnswer: PINEAPPLE