Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become...

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Unit 12 Binomial Theorem Objectives On completion of this unit you should be able to use: 1. Pascal’s triangle. 2. The binomial theorem. Written and produced by © Stafford College 1993 Cook, M. and Rimmer, H. (1993), Stafford College, Earl Street, Stafford, ST16 2QR

Transcript of Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become...

Page 1: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs

Unit 12

Binomial Theorem

Objectives

On completion of this unit you should be able to use:

1. Pascal’s triangle.

2. The binomial theorem.

Written and produced by © Stafford College 1993

Cook, M. and Rimmer, H. (1993),

Stafford College, Earl Street, Stafford, ST16 2QR

Page 2: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 3: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 4: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 5: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 6: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 7: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 8: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 9: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 10: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 11: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs
Page 12: Binomial Theorem...The binomial theorem You can see from the last exercise that as the powers become higher, it becomes inconvenient to use Pascal's riangle. An alternative to t±üs

Permutations Combinations Pascal’s triangle Binomial Theorem

Permutations Combinations Pascal’s triangle Binomial Theorem

BINOMIAL THEOREM-JEE(MAIN)

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Binomial Theorem FINAL 06.01ncert.nic.in/textbook/pdf/kemh108.pdf · BINOMIAL THEOREM 163 8.2.1 Binomial theorem for any positive integer n, (a + b) n= nC0 an + C 1 a–1b + nC 2

Binomial Theorem FINAL 06.01ncert.nic.in/textbook/pdf/kemh108.pdf · BINOMIAL THEOREM 163 8.2.1 Binomial theorem for any positive integer n, (a + b) n= nC0 an + C 1 a–1b + nC 2

10.2 Combinations, Binomial Theorem - WSDblog.wsd.net/.../2016/04/10.2-Combinations-and-Binomial-Theorem.pdf10.2 Use Combinations and the Binomial Theorem. Warm Up • 1) Evaluate

10.2 Combinations, Binomial Theorem - WSDblog.wsd.net/.../2016/04/10.2-Combinations-and-Binomial-Theorem.pdf10.2 Use Combinations and the Binomial Theorem. Warm Up • 1) Evaluate

The q Binomial Theorem

The q Binomial Theorem

Binomial theorem

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AH Binomial Theorem.notebookmissdeely.weebly.com/.../ah_binomial_theorem.pdf · The Binomial Theorem Expanding multiple brackets Use the Binomial Theorem on each separately Example:Expand

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Tips for Binomial Theorem

Tips for Binomial Theorem

Gosper’s Algorithm By Zachary Vogel. Binomial Coefficients The Binomial Theorem.

Gosper’s Algorithm By Zachary Vogel. Binomial Coefficients The Binomial Theorem.

5.2 Pascal’s Triangle & Binomial Theorem

5.2 Pascal’s Triangle & Binomial Theorem

11.3 binomial theorem

11.3 binomial theorem

Binomial Theorem Screenshots 1

Binomial Theorem Screenshots 1

Binomial Theorem, Inclusion/Exclusion · Binomial Theorem, Inclusion/Exclusion The Binomial Theorem (15.7) Historical perspective I’m very well acquainted too with matters mathematical,

Binomial Theorem, Inclusion/Exclusion · Binomial Theorem, Inclusion/Exclusion The Binomial Theorem (15.7) Historical perspective I’m very well acquainted too with matters mathematical,

SSWLSR318CP18011509562 - · PDF fileYou can use the binomial theorem to expand any power of a binomial expansion. -nco(x Example 1: Use the Binomial Theorem a) Use the binomial theorem

SSWLSR318CP18011509562 - · PDF fileYou can use the binomial theorem to expand any power of a binomial expansion. -nco(x Example 1: Use the Binomial Theorem a) Use the binomial theorem

MASTERSHEET: Binomial Theorem EXERCISE # 1 [VECTOR]

MASTERSHEET: Binomial Theorem EXERCISE # 1 [VECTOR]

A TREATISE ON THE BINOMIAL THEOREM

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APPLICATION OF BINOMIAL THEOREM

APPLICATION OF BINOMIAL THEOREM

12X1 T08 03 binomial theorem (2011)

12X1 T08 03 binomial theorem (2011)

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Binomial theorem for any index

Chapter 8 Binomial Theorem

Chapter 8 Binomial Theorem