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Binomial Theorem
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1
Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1
 
 
 
 
 
 
 
 
 
 
 
 
 
Exercise 5A; 2ace etc, 4, 6, 7, 9ad, 12b, 13ac, 14ace, 16a, 22, 23

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12X1 T08 01 binomial expansions

  • 2. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 3. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 4. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 5. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 6. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 7. Binomial Theorem Binomial Expansions A binomial expression is one which contains two terms.
  • 8. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle
  • 9. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1
  • 10. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1
  • 11. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1
  • 12. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1
  • 13. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
  • 14. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1
  • 15. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
  • 16. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
  • 17. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1
  • 18. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1
  • 19. Blaise Pascal saw a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1
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  • 33. Exercise 5A; 2ace etc, 4, 6, 7, 9ad, 12b, 13ac, 14ace, 16a, 22, 23