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

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: 20 Term independent of x in expansion of x2 5 + 6x3 is? e 7

A: Here we have to find the term independent of x.

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: 4. Use the binomial theorem to expand the following expressions. a. (x + 2y)* b. (2x – 1)5

A: We can solve this using binomial theorem

Q: 2x+ 3 2 X 6

A:

Q: Which of the following is not a term in the expansion of OA-2xyz OB. 3x²y z 2. OCA D. xyA 16

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Q: What is the coefficient of r* in the binomial expansion of 1 (1 – 3x?) Give your answer as an…

A: Binomial expansion of (1-x)-1'=1+x+x2+x3+x4+.......Then binomial expansion…

Q: Consider the expansion of x² 10 3

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

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?

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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: Which is the correct expansion of (x+4y)^3 using the binomial theorem?

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Q: 10 Find the term involving y³ in the expansion of 2x – Select one: O a. 924x2y3 O b. 636x2y³ O c.…

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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: Determine the coefficient of a6b2 in the expansion of (a + b)8 by using the Binomial Theorem. That…

A: To find the coefficient of a6b2 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 middle term in the binomial expansion of (x-1)". إختر أحد الخيارات 15x a O 20x none of…

A: The binomial expansion of x+yn=∑r=0nCrn xn-ryr.  From the limits of summation it is clear that the…

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

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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: 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: 101 99 200 . What is the coefficient of xy in the expansion of (2x - 3y)?

A:

Q: Compute the coefficient of xy4 in the expansion of (3x – 4y)7. -

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Q3. (a) Find the binomial expansion of (1 + 4x)2 up to and including the term in x².

A:

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: ) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the…

A:

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: For Exercise, find the indicated term of the binomial expansion. (5x+ 4y)6; fifth term

A: We use binomila expansion formula to expand (5x+4y)^6

Q: Use the Binomial theorem to find the coefficient of xayb in the expansion of (2x2−5y3)6 where a=8…

A: We have to find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using Binomial theorem.

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: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

A:

Q: 4) Find the Term that free from x of the expansion (x2 +10

A: Use binomial expansion:-

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

A:

Q: Find the fifth term in the expansion of (x2 + y2)10

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Q: Find the 3rd term in the expansion of (x- 1)^5 in simplest form.

A: Given that we need to find the third term in the expansion of ( x - 1)5.

Q: (목+)" Q41. Term independent of x in expansion of is? e 6x3

A: here is the solution

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: 12. When written in descending powers of z, the third term in the expansion of (2x +w)* is 156.8a.…

A:

Q: 7 Find the coefficient of x in the expansion of ( 3x2 3x A. -105 В. 567 С. 1701 D. 504 Е. 386 F.…

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Q: Find the 6" term in the expansion of (x + 3y )"

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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

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Q: 5. What is the coefficient of x''y" in the expansion (- 3x + 4y)ª . Show your work here:

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

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

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

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: Find the term in x' in the expansion of (x + 3) (2x + 1)'. а. 280x 310x d. 350x с. b. 290x3

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: Which of the following shows the coefficient of r in the binomial expansion of (1+4x)? O There is no…

A: I am solving this in step 2