What is the value of m in the term Kja b“cm in the expansion of (a+b+2c)12 ?

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

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

A:

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

A:

Q: 1. What is the value of the coefficient of the 4th term in the expansion of (a + b)7 O 220 445 985 O…

A:

Q: What is the coefficient of b° in the expansion of (6 -2b)17 O a. -b * C(17,9)* 29* 68 O b. C(17,8)*…

A: binomial series expansion

Q: How many terms are there in the expansion of (a+b)48 after like terms are collected?

A: This question is related to binomial expansion. We will solve it using given information.

Q: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: Find the term indicated in the expansion (x2 + y)22; the term containing y14.

A: To find: The term containing y14. Given: The expansion is x2+y22. Concept used: If the expansion is…

Q: a) Determine the fourth term in the following expansion (x + 3y)° 5r)5

A: The posted question has multiple questions. But according to guidelines we will solve the first…

Q: What is the coefficient of (a^7)*(b^4) in the expansion of (a+2b)^11?

A: The solution of the problem is given in the next step.

Q: Which of the followings is/are in the expansion of (a+b)^6?

A:

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: O write the expansion of : (3a+ 2b)$ , (4z – w) , - -→*

A: We have to expand the following expression by using binomial expansion

Q: 1 nd the term involving x13 in the expansion of 4x? + c. 524812286 d 624812288 524812288 544812288

A: We are asked to  find the coefficient of x13

Q: Find the coefficient at x in the expansion of (3 + x)75

A:

Q: Find the  coefficient of x^5 in the expansion of  (1−2x)^8.

A: Given,             (1-2x)⁸ = (1+(-2x))⁸

Q: What is the coefficient of x+<y+3 in the expansion of (x+y)252 O 12 25 13 13 12 O 13

A: To find the coefficient of x12y13 in the expansion (x+y)25…

Q: What is the coefficient of b° in the expansion of (6 -2b)17 O a. -C(17,8)* 29* 68 O b. -b * C(17,9)*…

A: See the details solution in below

Q: 3. What is the value of the 6th term of the expansion (a + b)? O 84a 66 O 126a 64 O 126a*b5 84a 3

A: Given: (a + b)9.

Q: What is the coefficient of b° in the expansion of (6-2b)17 O a. C(17,9)* 29 65 O b.-C(17,8)* 29 6 OC…

A:

Q: What is the coefficient of a b³c² in the expansion of

A: In this question, we need to find the coefficient of a4b3c2.

Q: 10 [1] Find the coefficient of the term involving x* in the expansion of (3x - a. -262444 b. -262440…

A: We have to find the coefficient of x^4.

Q: 8. What is the value of the 13th coefficient in the expansion of (a+b)5? 1,365 455 O 3,003 O 105

A: given(a+b)15 we have to calculate 13th coefficientwe know Binomial nth term formulaTr+1=Cran-rbrnfor…

Q: Use the first 3 terms in the expansion of (2+5x)6 to approximate the value of (2.05)6

A: We know that a+bn = C0nan-0b0 + C1nan-1b1 + … + Cnnan-nbn

Q: (d) Prove by induction that 5 "– 1 is divisible by 5 for all n e Z +.

A: we have to show that 5n-1 is divisible by 5 for all n belongs to Z+ by induction for n =1.

Q: 2. What is the value of the 3rd term of the expansion (3y- 2)'? | O - 10206y O 35a+b3 20412y5 O 21a…

A:

Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

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: 5. What is the value of the coefficient of the 5th term in the expansion of (a+ b)°? O 10 0 6 O 15 O…

A: In this question we will apply the concept of general term of a binomial expansion.

Q: Find the term containing A6 in the expansion of (A +3B)^10.

A: To find the term containing A6 in the expansion of A+3B10.

Q: 4. Find the 11th term in the expansion of 25 3x + 5xi

A:

Q: If the 2nd, 3rd and 4th terms in the expansion of (a + x)" are respectively 240, 720, and 1080…

A:

Q: Find the Middle term(s) in each the following expansions . * (x + +)" * (3x3 – 2y?)7

A:

Q: 22 Find the 17th term in the expansion of (20 (2а-b)*

A:

Q: 30. Find the term containing y12 in the expansion of (b + y*)". A. 25b³y12 В. 42b8y12 C. 35b*y12 D.…

A:

Q: What is the coefficient of r* in the binomial expansion of 1 (1 – 32?) Give your answer as an…

A: Given function is 1/(1-3x2).

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: we have to tell the first three terms in the given expression. 3c25+c4525

Q: 27. What is a simplified expression for the 4th term in the expansion of (3x2 +4y)® written in…

A: The given expansion is (3x2+4y)9

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: 7) Write all the following as expansions: > 0.2 > V26 V35 > (0.99)-4

A: Given problem is :

Q: Use the binomial theorem to find the term containing p17x3 in the expansion of (? − 3?)20

A: The given question is  Use the binomial theorem to find the term containing p17x3 in the expansion…

Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

Q: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

Q: Find the term independent of x in the expansion of 3 1 - 2r

A:

Q: Determine the coefficient of the 5th term in the expansion of (n – 2m)'.

A: n-2m7Apply binomial theorem:  a+bn=∑i=0nnian-ibia=n,…

Q: Which of the following is the correct expansion of (y + 1)(12y2 + 2y + 6)?

A: The given term is y+112y2+2y+6

Q: 29. The numerical coefficient of the middle term in the expansion of (5x2 +y)0 is O 10 C5 55 O 10C4…

A:

Q: 1) write the expansion of : (3a + 2b)5,

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: Prove (without expansion) a b c d |-b -d d -b = (a? + b? + c? + d?)? a a |-d -c b a

A: