Quadratics

Exercises

Exercise 1 – Expanding Brackets

Expand and simplify the following:

  1. \((x+1)(x+12)\)
  2. \((x+14)(x-15)\)
  3. \((x-7)(x+5)\)
  4. \((x+8)(x-12)\)
  5. \((x-9)(x+1)\)
  6. \((x-9)(x+3)\)
  7. \((x+13)(x-19)\)
  8. \((x-12)(x+18)\)
  9. \((x+18)(x-7)\)
  10. \((x-12)(x-1)\)
  11. \((x+3)(x-10)\)
  12. \(x(x-11)\)
  13. \((x-6)(x+5)\)
  14. \((x-6)(x-7)\)
  15. \((x-8)(x-17)\)
  16. \((x+10)(x-12)\)
  17. \((x+10)(x-5)\)
  18. \((x+12)(x+12)\)
  19. \((x-5)x\)
  20. \((x-17)(x+16)\)
Solutions
  1. \(x^2+13x+12\)
  2. \(x^2-x-210\)
  3. \(x^2-2x-35\)
  4. \(x^2-4x-96\)
  5. \(x^2-8x-9\)
  6. \(x^2-6x-27\)
  7. \(x^2-6x-247\)
  8. \(x^2+6x-216\)
  9. \(x^2+11x-126\)
  10. \(x^2-13x+12\)
  11. \(x^2-7x-30\)
  12. \(x^2-11x\)
  13. \(x^2-x-30\)
  14. \(x^2-13x+42\)
  15. \(x^2-25x+136\)
  16. \(x^2-2x-120\)
  17. \(x^2+5x-50\)
  18. \(x^2+24x+144\)
  19. \(x^2-5x\)
  20. \(x^2-x-272\)