Binomial Theorem
1.Express the Binomial Theorem and describe it‘s properties:
Binomial Theorem and the Pascal‘s Triangle.
2. Simplify:
Solution:
3. Simplify:
Solution:
4.Find out the fourth member of following formula after expansion:
Solution:
5. Find out the member of the binomial expansion of ( x + x-1)8 not containing x.
Solution:
The result is the number M
5 = 70.
6. Which member of the binomial expansion of (2x3 + x–1)10 constains x6?
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.
Solution:
8. For which x the 5th expansion member equals M5 = 105?
Solution: