Find the coefficient of the term involving z¹2 in the expansion of (22-½)¹¹. a. -231/8 b. -231/16 c. 231/8 d. 231/16

Q: Determine the coefficient of x65 in the full expansion of (x – 2)100. (You need not а. evaluate…

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Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

Q: What is the coefficient of the term that involves 7 in the expansion of (x + 2y)0? O 840 1,680 960…

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Q: Find the coefficient of x3y10 in the expansion of (−4x−4y)13

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Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

Q: use tge binomial formula to find the coefficient of the q24z term in the expansion of (q-3z)25

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Q: In the expansion of ( 2x – 3y )4, find the sum of the coefficients of all the terms.

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Q: 3n 3. Which of the following is the correct expansion of E-2(-1)" ()? c. (-;+"-#+) 243 243 + 6. 27…

A: The correct expression is option (D).

Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

Q: Find the coefficient of x4 in the expansion of (2-3x)6

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Q: le Find a if the 17th and 18th terms of the expansion (2 + a)" are equal.

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Q: Consider the expansion of (2+x²³²) ¹+¹ ² where 2+2 nt next the coefficient of X² is 1792, Given that…

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Q: 3. For the following terms from the expansion of 10 (a + b)¹⁰ state the coefficient in both „C, n r…

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Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

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Q: What conditions on (positive) numbers a, b, c, and d will guarantee that every difference at every…

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Q: Find the sum of the coefficients in the expansion of (2x² + X a. 15,625 b. 10,765 C. 20,485 d.…

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Q: What is true about the sum of the exponents on a and b in any term in the expansion of (a + b)n?

A: We have the binomial expansion:…

Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

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