Find the coefficient of the indicated term in each expansion. (2x – y)4, x²y2 term 2,2 4 48 12 24

Q: The coefficients of three consecutive terms in the expansion of (1 + ay" are in the ratiol: 7:42.…

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Q: 46. What is the coefficient of p³q!2 in the expansion of (p + q)15? А. 345 В. 455 С. 565 D. 625…

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Q: a) Find the term containing b^3 in the expansion of (b−2)^6 b) Find the 6th term in the expansion…

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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 :

Q: 38. The coefficient of x is the expansion of (x + A. 84 В. 72 С.9

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Q: W hich of the terms in the expansion of (y³ +y')" will involve y? 6th term 7th term 8th term 9th…

A: Given that:.     (y3 +y-1)10 . First we find expansion of this and then we find term in this involve…

Q: 3. The third term in the expansion of (x +p ) is 252r°. Find the possible values of p. а. +4 с. +2…

A: Given that the third term of the expansion of  (x+p)8 is 252x6. We find all possible values of p.

Q: a. Find the expansion of (2+y)5 and write the coefficient of y b. Find the expansion of (2+3w+w)5…

A: To obtain the solution, use the binomial expansion formula. a+bn=∑r=0nnran-rbr

Q: The pressure P and volume V of an expanding gas are related by the formula PVb holds in adiabatic…

A: Given  PVb=C      where, P=45 kPa, dPdt=12 kPa/min, V=80 cm3, dVdt=24 cm3/min

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: 13.The ratio of the term x° to the term x in the expansion of (3+2x) is A. 354:135 B. 364:135 C.…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 12. What is the coefficient of x³y® in the expansion of (-3x + 5y)*? a) C(13,5) · 38 . 55 b)…

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Q: The coefficient of x³in the binomial expansion of (2– 3x) is A -1080 26. /B 1080 C -360 D 360

A: we have to find out the coefficient of x3 for function  (2-3x)5

Q: 4 a) (x² + b) (- x*)*

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Q: 19. 3x 6. 2x 6

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: Find the first 5 terms of {b_n}={n/e^n}.

A: In a sequence, each element is called as a term. For finding the terms of a sequence, we need to put…

Q: 1. Which of the following expression(s) are third-degree binomials? Select all that apply. А 2у —…

A: From the given equations we will write degree of each expressionDegree means the highest power in…

Q: n (x - 1)" The sixth term of the expansion of x is 1287 8 X 3125 . Determine n.

A: Let us consider the expression a+bn. The binomial expansion of the given expression is , a+bn=C0n…

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: the coefficient of the fourth term in  the expansion of  (0.5 – x)10 a. 15/19 b. 17/16 c. -15/16…

A: We will find the fourth term and then it's coefficient.

Q: 13. Find the 5 term of the expansion (r+ 3) с. 108х d. 27 a. 81 b. 12x

A: Topic - binomial expansion Note - as per bartleby Guidelines ,we arecsupposed to solve first…

Q: ·은+ 들.Find the C a. The first three terms in the expansion of (3 – can be written as a + value of…

A: Given first three terms in the expansion of 3-19x5 can be written as a+bx+cx2Find a,b,c

Q: What is the value of the 6th term of the expansion (a+b)^9?

A: Given,          The value of the 6th term of the expansion a+b9.

Q: 4. Select all the expressions that can be factored into a squared binomial. A. y² + 2y + 1 25 B.w?…

A: Answer and explanation is given below

Q: ADMATH 8. 2.) cunvergent n. divergent or n=0

A: The given series is

Q: Use the binomial theorem to find the value of (3 + 21)4 where i is the imaginary unit. The Binomial…

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Q: 4. Consider the expansion of . The constant term is 960. Find the possible values of a. а. +1 с. +4…

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Q: The 3rd term in the expansion of (y?+2/y)21 and the 3rd term in the expansion of (y+%)7 are equal.…

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Q: (i) > nx", n=1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

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Q: 22²+2 こ Sに): ク2 Find )z

A: Rz=2z2+2Sz=3z

Q: Find the required term in the binomial expansion. (2a − b)8; 7th term

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Q: There are 18 terms in the expansion of (a-5)24 **. The value of a, where a is a natural number, is

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Q: D Halley draws a picture to show 8 ÷ 2. Which picture could be Halley's? Done ->

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

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Q: 1+p 1. The coefficient of y' and y¹+ in the expansion of (2 + 3y)¹ are equal, find p.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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

Q: a. Find the coefficient of x2y5in the expansion of (x + y) 7.b. Find the coefficient of x6y3in the…

A: (a) Expansion of a+bn gives us n+1 terms which are given by binomial expansion  Crn an-rbr where r…

Q: The Binomial The orem states: -- 2. Catb) n 2 ab' n-/ Find the first five terms in the expansion of…

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Q: The coefficient of in the expansion of 1 (x+ + 1)7 is the sum of n multinomials. What is n? 3 1 4

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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: Express (1:1)4 as a binomial of the form (a + b)n , and evaluate it.

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Example H·W : 1) Find the value of the following expansions : 7 v (2 + v3)' – (2 –- v3)' V 6° – 49…

A: Binomial expansion

Q: 38. What is the coefficient of the 4th term in the expansion (2y -3x)*? a. -216 b. -96 с. 81 d. 216

A: We have to find the 4th term in the expansion 2y-3x4 We can use binomial theorem to find the 4th…

Q: 11. (а) Еxpand (5a -b)3 11. (b) Find the term containing x in the expansion of (x² – y)°

A: 5a-b3 use the formula a-b3=a3-3a2b+3ab2-b3 =5a3-35a2b+3· 5ab2-b3 =125a3-3·25a2b+15ab2-b3…

Q: Find the indicated term. 17. The fifth term in the expansion of (x – 3)7 18. The coefficient of x®…

A: to find  fifth term in the expansion of (x-3)7

Q: 2) Find the Middle term(s) in each the following expansions : E+x) • * (3x – 2y2)7 8

A: (a) x+1x28 number of terms is even, so middle term will be 82+1=5th term. Now, Tr+1=nCran-r(b)r here…

Q: Find the Middle term(s) in each the following expansions : * (z+)" • (3x-2y2)7 8.

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