The coefficient of x12y 12 in the expansion of the expression (2x³ – 4y2) 10 is given by

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: In the expansion of 5x + the value of the constant term is

A:

Q: For the binomial expansion of (2x-3)^6, what is the coefficient of x^4?

A: Given data- We have given the expression (2x-3)6. We have to find the coefficient of x4. We know the…

Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ;                       The general…

Q: The coefficient of x-y* in the expansion of (4x-y)° is 240. O True

A: Given: the coefficient of x2y4 in the expansion is 240

Q: In the expansion of (2x+5)4(2x+5)4, find the coefficient of x3x3. Select one: 16 600 not in the…

A: Consider the following binomial expansion:…

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: What is the coefficient of aº in the expansion of (x + 2)15 + x*(x +3)20?

A:

Q: Find the coefficient of x^2 in the expansion of (x+y)^12

A: This is a binomial expansion problem. Here we can use general concept of expanding a binomial…

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: Find the fourth term in the expansion of (3x + 2y)7.

A: the given expression is (3x+2y)7.

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

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

Q: In the expansion of (2x+1)n , the coefficient of the x2 term is 40n , where n is a positive integer.…

A: Given (2x+1)^n The solution is given below in the next step

Q: Find the independent term of x in the expansion of [x|3 3 3 2x² + 10

A:

Q: If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th…

A: Introduction :

Q: Find the first three terms in the expansion. 1) (x+3y) 2) (x-2)

A: From the Binomial expansion, (a+b)n=C0nan+C1nan-1b+C2nan-2b2+⋯Cnnbn (1) If the expression is:…

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

A:

Q: Find the coefficient of x5 in the binomial expansion of (1 – 2x + 3x2)5

A: Solution:

Q: what is the middle term of the expansion (x^2 - 4)^8 a.17920x^8 b.43750x^8 c.43500x^8 d.59070x^8…

A:

Q: Find the middle term in the expansion of (2/x + x/2)^14

A: The middle term in the binmial  expansion of (x+a)^n is (( n/2)+1)th term, if n is even . If nis…

Q: Find the term indicated in the expansion: (x + 2y)10; the term containing y6

A: we have to find the term indicated in the expansion: (x + 2y)10; the term containing y6

Q: Use the binomial formula to find the coefficient of the q^2y^21 term in the expansion of (2q -y)^23

A: We are going to solve

Q: Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.

A: The given expression is x2+y25 To find the term containing x4 as the factor

Q: Use Binomial Coefficients of x10y3 in the expansion of (x+2y)13.

A: Here the given expansion of (x+2y)13.  the general term of these series is

Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

Q: Find the term that contains x^8 in the expansion of (3x-1)^11

A:

Q: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

Q: (xt - 4y)" 12

A: Let's find middle term of given function.

Q: Find the term indicated in the expansion (x + 2y)10; the term containing y6.

A: The given expression is x+2y10 To find term containing y6

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: In the expansion of ( 2x + 3 )°, find the sum of the coefficients of all the terms.

A: Consider the provided binomial expression. 2x+38 The expansion of the given binomial expansion is…

Q: Find the coefficient of x6 in the expansion of (2x-3)9

A:

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

A:

Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: Find the 3rd term in the expansion of (5x 2)4 in simplest form.

A:

Q: What is the coefficient of x12y13 in the expansion of (2x+3y)25?

A:

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: Find the coefficient of the given term when the expression is expanded by the binomial theorem. x²y…

A: Here we can use general expension.

Q: Find the indicated coefficient or term. The coefficient of x in the expansion of (3x+2)^5

A: Binomial theorem expansion of is

Q: What is the constant in the 6th term of the expansion of ((1/2)x – 3)^16?

A:

Q: Use the Binomial Theorem to find the coefficient of the r"y" term in the expansion of (2r – y)12

A:

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

A:

Q: Find the constant term in the expansion of (2x + 1/x^3)^8

A:

Q: Find the coefficient of x°y° in the expansion of (2x – y)³. -

A:

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: The coefficient of x³y7 in the expansion of (7x – 4y)15 is (15)7847

A:

Q: Show all your steps. Find the coefficient of the term in the expansion of (3x – 4y)°.

A: The given expression is 3x-4y8. We have to find the co-efficient of x6y2. The binomial expansion is…