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Algebra Consolidation
  • 1. Expand and simplify: (x+4)(x+2)
  • 2. Expand and simplify: (a-5)(a+8)
  • 3. Expand and simplify: (2x-3)(x+6)
  • 4. Expand and simplify: (3a-b)(a-2b)
  • 5. Expand the following perfect square: (y+4)2
  • 6. Expand the following perfect square: (x-3)2
  • 7. Expand the following perfect square: (2a-3)2
  • 8. Expand the following perfect square: (7k+2m)2
  • 9. Expand and simplify: (x+5)(x-5)
  • 10. Expand and simplify: (11x-9y)(11x+9y)
  • 11. Factorise: 25a-15
  • 12. Factorise: x2-7x
  • 13. Factorise: -12x-16x
  • 14. Factorise: 2(a+3)+a(a+3)
  • 15. Factorise: 7(8+a)-a(8+a)
  • 16. Factorise: k(k-4)- (k-4)
  • 17. Factorise: x2-81
  • 18. Factorise: 16a2-49
  • 19. Factorise: 25x2-y2
  • 20. Factorise: 2a2-50
  • 21. Factorise: 12x2y2-12
  • 22. Factorise by grouping: x2+7x+2x+14
  • 23. Factorise by grouping: a2+5a-4a-20
  • 24. Factorise by grouping: 3ap-10+2p-15a
  • 25. Factorise this quadratic expression: x2+6x+8
  • 26. Factorise this quadratic expression: a2+2a-15
  • 27. Factorise this quadratic expression: m2-11m+30
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