Binomial Theorem
1.Express the Binomial Theorem and describe it‘s properties:
Binomial Theorem and the Pascal‘s Triangle.
Binomial Theorem
For each a, b є R, n є N stands:
Pascal‘s Triangle
Stands:
For each a, b є R, n є N stands:
Pascal‘s Triangle
Stands:
2. Simplify:
Solution:
3. Simplify:
Solution:
4.Find out the fourth member of following formula after expansion:
5. Find out the member of the binomial expansion of ( x + x-1)8 not containing x.
Please log in to view the solution.6. Which member of the binomial expansion of (2x3 + x–1)10 constains x6?
Please log in to view the solution.7. In the expansion of (a + 2a3)n is the coefficient of the 3. expansion member greater by 44 than the 2. member‘s coefficient.
Find out a positive integer meeting these conditions.
8. For which x the 5th expansion member equals M5 = 105?
9.Determine which term of the given expansion contains x⁷, given that:
10. Find the largest coefficient of the binomial expansion (a + b)n, when the sum of all coefficients is 4096.
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