1 In the expansion of px2(5+px)8, the coefficient of the term in x6 is 3402. Find the value of p. #2 Find the term in x3 in the expansion of (x+3)(2x+1)5 please show your solutions

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: i find the binomial expansion up to and including the x' term i state the range of values of x for…

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

A: Here, we have to find the coefficients of x12y12 in the expansion of 2x3-4y210 Consider the binomial…

Q: (a) 5 Find the coefficient of x in the expansion of (2x -) . (b) Hence find the coefficient of x in…

A: You can use the binomial expansion to solve the problems as follows :

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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: What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: We need to find the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 .

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) Find the coefficient of x^4 in the expansion of (1 - x)^14 b) Find the coefficient of x^2 in the…

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Q: Using the expansion for the binomial: (x° + y°)° : 5.,12 We wish to find the coefficient for the…

A: The formula for binomial expansion is x+yn=∑r=0nCrnxn−ryr. The combination formula isnCr=n!n−r!r!.

Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a.

A: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a

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 term indicated in the expansion (x3 + y2)8; sixth term.

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

A: Given query is to find the the third term of the expression.

Q: N(x) = x² - 2x 5 N(X)=x²-2x-5 N of N

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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: 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 +…

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Q: i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in…

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Q: 14 Which term of the expansion of (x + 1)contains x 16 Term number contains x16

A: The given expression is:…

Q: 7. In the expansion of px (5+px), the coefficient of the term in x° is 3402. Find the value of p. а.…

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Q: 1. Find the coefficient of x5y3 in expansion of the expression (x + 3y)8 2. Sixteen people attend a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

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

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Q: Find the coefficient of x7 in the expansion of (x + 2)9

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Q: (x +)". 10 Determine the coefficient of x-² in the full expansion of

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Q: 8. [8] What is the coefficient of y* in the expansion of (3y-2)'.

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Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

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

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

Q: A binomial distributinon with parameter n=5 satisfy the property 8P(X=4)= P(X=2). Find P left…

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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 coefficient of x9 in (2-x)19.

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Q: a) Obtain the expansion for (3 + 2x)* in ascending powers of x b) Find the term independent of x: 3…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. the number of terms in the expansion of  ( (x+4y)^3(x-4)^3)^2 is? 3. The 5th term of from the…

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Q: What is the coefficient of x° in the expansion of (x + 1)14 + x³(x + 2)15?

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 16. Kerys is trying to expand the binomial (2x + y)* using the () binomial theorem expression, >,…

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Q: What is the least coefficient in the expansion of (x -1)7?

A: Use Pascal's Triangles to find least coefficient in the expansion of (x -1)7

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

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Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

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Q: Find term number 3 in the expansion of: (3x + 2)* . the coefficient for term number 3 =| 216 the…

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

A: The (r+1)th term of the expression (a+b)n is given by Crnan-rbr. Here C represents the combination.…

Q: Consider the binomial theorem to expand (3x + 2y)^5. What is the coefficient of the x3y2 term? Thus…

A: we will use expansion of given expression for better understanding.

Q: In the expansion of (4x -2/x)8 or (4x -2x^-1)8, find the following: a)the term containing x^6 b)the…

A: Given that - In the expansion of (4x-2/x)8 or (4x-2x^-1)8, find the following: a)the term containing…

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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Q: 28. The expansion of the binomial (x +y)2a +5 has 18 terms. The value of a is

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

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