What is the sum of binomial coefficients?
Binomial formula: (a + b) ^ n = nc0 a ^ n + NC1 a ^ (n-1) * B +... NC (n-1) a * B ^ (n-1) + NCN B ^ n
It can be seen that when a = b = 1, the sum of polynomial coefficients = nc0 + NC1 +... + NC2 +... NC (n-1) +... NCN
So the sum of binomial coefficients = (1 + 1) ^ n = 2 ^ n
RELATED INFORMATIONS
- 1. Square of (1 + x) + X (1 + x) + X (1 + x) + +What is the sum of the coefficients of all binomial expansions of X (1 + x)
- 2. The 208th power of minus two plus the 207th power of minus two is equal to?
- 3. What is the 207th power of 0.125 times the 208th power of negative 8
- 4. The 50th power of negative 2 multiplied by the 25th power of negative zero 25 is equal to? Simple method, thank you
- 5. A. the absolute value of an integer is a positive number B. the absolute value of a negative number is a negative number C. The absolute value of any number will not be less than 0 The absolute value of any integer is a natural number
- 6. A. The absolute value of any rational number is a positive number B. the absolute value of any rational number is not a negative number C. The absolute values of two opposite numbers are equal D. nine are away from the origin
- 7. If a is a rational number, then | a | must () A. It's a positive number B. It's not a positive number C. It's a negative number D. It's not a negative number
- 8. If the sum of two rational numbers is negative, then the two numbers are positive and negative. Is the absolute value of negative large?
- 9. The absolute value of the number 5 is 5, which is itself; the absolute value of the number - 5 is 5, which is its opposite number; the above comes from the theorem that the absolute value of a non negative number equals itself, and the absolute value of a non positive number equals its opposite number______ The absolute value of negative number - B is______ The absolute value of negative number 1 + A is______ The absolute value of positive number - A + 1______ .
- 10. The absolute value of a positive number is an integer, and the absolute value of a negative number is also a positive number. Is that right?
- 11. In the sixth power of (a + 2b-3c), find: (1) the coefficient of AB squared C cubic and (2) the sum of all the coefficients with a cubic term Thank you very much~
- 12. In (a + b) 10 expansion, the term with the largest binomial coefficient is (?)
- 13. Let the sum of binomial coefficients in the expansion of (a-b) n be 256, then the term with the smallest coefficient in the binomial expansion is () A. Item 5 B. items 4 and 5 C. items 5 and 6 D. items 4 and 6
- 14. 1. In the expansion of (5a + 7b) n, the sum of the binomial coefficients of each term is equal to 128, then N 2, find the term with the smallest coefficient in the expansion of (a-b) 10 3. The sum of coefficients of each item in the expansion of (a + b) n is 256. Write the binomial coefficients of the expansion in order 4. Find the sum of coefficients of all terms of the expansion of (a-3b) 6 There should be a process. Thank you
- 15. (a + b) ^ n if the binomial coefficients of the tenth and eleventh terms are the largest, what is n? How to calculate the required process
- 16. The coefficient of the monomial a ^ 2B / 7 is 1 / 7, and the degree is 3,
- 17. Is a × 2B × 3C a polynomial or a monomial? What is the coefficient? What is the degree?
- 18. 4AB ^ 2-5-3a ^ 2b is the expression of several times and several terms, and the cubic term is 7x ^ 2-5x ^ 3 + 3x-1 are several times and several terms
- 19. The correct answer to (1 / 3A + 1 / 2b) (1 / 3a-1 / 2b)? Please explain the reason for each step and the whole process (the most important step is to apply the formula)
- 20. The coefficients and times of X-Y, - A's quadratic, B's cubic + A's cubic, B's quadratic, 2 / 2 x-3 y, 3A's quadratic + 2B's cubic