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Math Exercises & Math Problems: Binomial Theorem

 

 

 

 

1. Find the binomial expansion of the expression :

 

Binomial theorem - Exercise 1

 

2. Which member of the binomial expansion of the algebraic expression (2x-1/x)^14contains x6 ?

 

 

3. Find two intermediate members of the binomial expansion of the expression (a+b)^5.

 

 

4. Find the intermediate member of the binomial expansion of the expression (a+b)^4.

 

 

5. Find :

 

Binomial theorem - Exercise 5

 

6. Find the intermediate member of the binomial expansion of the expression ( sqrt(x)-1/x )^6.

 

 

7. Which member of the binomial expansion of the algebraic expression Binomial theorem - Exercise 7 contains a7 ?

 

8. For what value of x the fifth member of the binomial expansion of the algebraic expression Binomial theorem - Exercise 8 equals to the number 105 ?

 

 

9. Find out which member of the binomial expansion of the algebraic expression ( x^2 - 1/(x^2) )^8 equals to the number 70.

 

 

10. Find out which member of the binomial expansion of the algebraic expression ( 2/x - sqrt(x) )^7 is the product of the coeficient and of the unknown sqrt(x).

 

 

 

 

 

 

You might be also interested in:

- Variations, Permutations, Combinations

- Probability

- Factorials and Combinatorial Expressions

- Combinatorial Equations and Inequalities

 

 
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