Find the binomial expansion for the following problems: 1 (x+ 2)7

Q: EX1 FIND THE 4th TERM BINOMIAL EXPANSION (3x+2y) ³ IN THE OF 3

A: The given expression,      3x+2y5

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: Find the specified nth term in the expansion of the binomial. (x - y)², n = 2

A: We need to find nth term.

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: 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: 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: Use the binomial formula to find the coefficient of the y^3 m^17 term in the expansion of (3y- m)^20

A:

Q: 1. In your own words, what is the binomial theorem. Find the 5th term of (x+7)

A: Given : x+77

Q: Use the binomial formula to expand the following: (2x

A: The given expression is

Q: Find the coefficient a of the given term in the expansion of the binomial. (4x-y)to the power of…

A: Explanation of the solution is given below....

Q: Expand with binomial formula (a-x)5

A:

Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

A:

Q: Find the specified nth term in the expansion of the binomial. (x − 8y)5,    n = 3

A:

Q: Find the specified nth term in the expansion of the binomial. (x + 22)", n = 6

A:

Q: Use the Binomial Theorem to expand (6a - 7)°. Coefficients: 1 3 3 1 17.

A: Binomial theorem: a+bn=C0nan+C1nan-1b1+C2nan-2b2+...+Crnan-rbr+...+Cnnbn where 'a' & 'b' are…

Q: Find the specified nth term in the expansion of the binomial. (x – 10z)7, n = 4

A: Known fact: The (r+1)th term in the binomial expansion of x+yn is given by Tr+1=nCr xn-r yr.

Q: Find the fourth term of the binomial expansion (-a + 2b)4.

A: If you like the solution then please give it a thumbs up.... The Answer is:               Fourth…

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: Write the binomial expansion for (x+3)°. ..... (x + 3)° =D

A: Solution...

Q: 3. Find, in descending powers of x, the binomial expansion of (2 – r2)5

A: 3. In this question, we need to determine the descending powers of x in the binomial expansion of…

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

A: use the binomial theorem

Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

A: Given that 10x+20x100 The objective is to find the formula for the coefficient of xk. By binomial…

Q: The third term of the (x-3y)5 of the following binomial is:

A:

Q: Expand the binomial by using Pascal's Triangle to determine the coefficients. (x - 2y)5

A:

Q: Find the specified n-th term in the expansion of the binomial. (x- 8y)°, n = 3

A: The binomial expansion is a polynomial function  The binomial expansion of the expression (a+b)n is…

Q: Find the indicated term in the expansion of the binomial seventh term of     (x-y)11

A: Here we have to find the indicated term in the expansion of the binomial seventh term of    (x -…

Q: Find the specified nth term in the expansion of the binomial. (x - 8y)5, n = 3

A: Given (x - 8y)⁵, n= 3 We have to find the specified nth term in the expansion of the binomial.

Q: Find the indicated term in the expansion of the given binomial. The eighth term in the expansion of…

A: Given: y=x2-1x45 we know that r+1th term of a+bn is given by Tr+1=ncran-r.br…

Q: Expand and simplify  (x + 3y)^3 using the Binomial Theorem

A:

Q: In Problems 30 and 31, expand each expression using the Binomial Theorem.30. (x + 2)5 31. (3x - 4)4

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

Q: Find the specified nth term in the expansion of the binomial.   (x-7y)5, n=3

A: To find the nth term in the expansion ofthe bonomial x-7y5 , n=3

Q: Graph y = f2(x) where f2(x) is the sum of the first two terms of the binomial expansion of: (1 4- -5…

A: We have to find the function from binomial expansion and graph it.

Q: Find the middle term in the binomial expansion of(x-3)".

A:

Q: Graph y f2(x) where f2(x) is the sum of the first two terms of the binomial expansion of: (1 - 5) 5-…

A: The expression for the binomial expansion is 1-x28. The equation graph is y=f2x.

Q: Use the binomial expansion formula to expand (x + 1 )9 .

A: x+19 Binomial theorem is, a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+----+Cnnbn

Q: 1. Solve the following problems by using the Binomial formula.  a. If n = 4 and p = 0.10, find…

A:

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

A:

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

A:

Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: Question 6 Find the coefficient of the term in the expansion of (2x3-y)5.

A: the coefficient of x^6y^3 is -24

Q: Expand the given expression using the binomial theorem: (5x-1)3

A: Consider the given expression.

Q: Find the binomial expansion of (2x + 3y2)4.

A:

Q: 3. The binomial coefficients can be calculated directly by using the formula So

A: The binomial coefficients can be calculated directly by using the formulank=n!k!(n-k)!