Compute each of the following permutations. (a) (1423)(34)(56)(1324); (b) (1254)^2(123)(45); (c) [(1235)(467)]^(−1); (d) (1254)^100

Q: If n be positive integer, show that the algebraic sum of the numerical coefficients in the expansion…

A: As given above that n be a positive integer. And the given expression is: 3x-2yn We have to prove…

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: 25) Find the gcd of 10563 and 10563105.

A: We have to find the gcd of given number.

Q: Evaluate the following 1. V(x³8x²5x+1)

A: Given : fx=x3-8x2-5x+1 Evaluate : ∇x3-8x2-5x+1 Note : According to the guideline we are  suppose to…

Q: Convert the following polynomials to factorial poly 1. (x-7)(x-6)(x - 5)(x+4) 2. (x+6) (x + 7)(x +…

A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

Q: Out of curiosity, how did you get (1/4)*A instead of 1/(4A)?

A:

Q: ) Write the expansion of (3 + 2x) and use the first three terms of the expansion to approximate3.26.

A: Concept is binomial theoram  3.2 = (3+0.2) 0.2 = 2x0.1

Q: 7. Express the following numbers without using exponents. (a) 2-1 = (b) 2-3 = (c) ) 1 (d) 2-3

A: By using a-m=1amabm=ambm

Q: Answer the following: a) What is the general term of (x-y)xy? b) In the expansion of (1+x)^n the…

A:

Q: What is the term involving a6 in (a² + ¹)1¹²? a

A:

Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: (c) Find the term independent of x in the expansion of, 15 + 4x?

A:

Q: Add as indicated in the following exp (2)/(5(k-3))+(4)/(3(k-3))

A:

Q: 8 (541)(2e78i) 1. (720)4

A:

Q: Compute the following.(a) (1345)(234)(b) (1423)(34)(56)(132)(c) (1254)4

A:

Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: 08/298 1 4:2

A: Topic:-  Binary number system

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…