1. 12x²-20x2. 6x2y2+3xy3-3xy23. x2 y24. 4x²-95. x²-25y26. x² + 2xy + y²7. 4x²+12x+98. x2 10xy+ 25y29. x²+x-1210.6x²+x-211.2x2 x 1012.x3-2713.x3+2714. x²+10x+1615. X2-5x-3616.9x2-1617.9x2-24x+16
Answer (1)
Here are the solutions for each expression: 1. 12x²-20x - Solution: Factor out the greatest common factor, 4x: 4x(3x-5) 2. 6x²y²+3xy³-3xy² - Solution: Factor out the greatest common factor, 3xy²: 3xy²(2x+y-1) 3. x² y² - Solution: This expression is already in its simplest form. 4. 4x²-9 - Solution: This is a difference of squares: (2x+3)(2x-3) 5. x²-25y² - Solution: Another difference of squares: (x+5y)(x-5y) 6. x²+2xy+y² - Solution: This is a perfect square trinomial: (x+y)² 7. 4x²+12x+9 - Solution: Perfect square trinomial: (2x+3)² 8. x²+10xy+25y² - Solution: Perfect square trinomial: (x+5y)² 9. x²+x-12 - Solution: Factor into two binomials: (x+4)(x-3) 10. 6x²+x-2 - Solution: Factor into two binomials: (2x+1)(3x-2) 11. 2x² x 10 - Solution: Simplify: 20x² 12. x³-27 - Solution: This is a difference of cubes: (x-3)(x²+3x+9) 13. x³+27 - Solution: This is a sum of cubes: (x+3)(x²-3x+9) 14. x²+10x+16 - Solution: Factor into two binomials: (x+2)(x+8) 15. x²-5x-36 - Solution: Factor into two binomials: (x-9)(x+4) 16. 9x²-16 - Solution: Difference of squares: (3x+4)(3x-4) 17. 9x²-24x+16 - Solution: Perfect square trinomial: (3x-4)²
