rn is not divisible by 3k +1 or n = 3k + 2.

Q: For what value of m is x3-2mx2+16 divisible by x + 2?

A:

Q: What is the fourth term in the expansion of (3x - 2)102

A: GIVEN- 3x-210 TO FIND- FOURTH TERM IN THE EXPANSION OF 3x-210 METHOD / CONCEPT- IN EXPANSION OF a+bn…

Q: The middle term in the expansion of 8 +2y is - (a) 35x*y (b) 70x*y (c) 140x'y (d) 35x*y 2.3

A: We have to find the middle term for given problem.

Q: Can you use mathematical induction to show that 4 divides 32x + 7 First define the predicate ?(x)

A: given , expression :- 32x+7 we have to prove that given expression is divisible by 4 .

Q: Find the product with result: 9-3 O ()(-75)

A:

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: largest number coefficient in the expansion of :(2-3x)^15

A:

Q: What is the coefficient of (a^7)*(b^4) in the expansion of (a+2b)^11?

A: The solution of the problem is given in the next step.

Q: What is the coefficient of the first term of 3x² - 2x +9? O 14 O 1 О 24 Оз

A:

Q: The greatest common divisor of 0 and 5 is (5 1 (2

A:

Q: What is the coefficient of x²x²3x4 in (x₁ + x2 + x3+x₁)?

A:

Q: Z12 ? What is the number of elements of the quotient (3)

A: We have to find the number of elements in the given quotient group.

Q: What is y=2/3x + 4 writen in standard for ? using integer coefficients

A:

Q: In a sports league of x teams in which each team plays every other team twice, the total number N of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: .What is the coefficient of x7 is the expansion of (2x°+)29 ? [if the answer has a form like…

A:

Q: perform the indicated operation  2k2-32 / k2-2k-24 /  k+4/ k2-7k+6

A:

Q: Use the following diagram, with OABCD. (3x+5)° (4х-7)°

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with each pair of…

Q: Write a recursive rule for a =9– 5n . %3D a 3=

A: That's easy, just a careful observation needed.

Q: Vn E N, nº – n is divisible by 6.

A:

Q: The greatest common divisor of 0 and 5 is

A:

Q: The greatest common divisor of 0 and 5 is (1. (5 2

A:

Q: =7V5 then, przove that

A:

Q: What is the greatest value of the expression (ab + bc + cd + da) if a, b, c, d have values 3,5,7,9…

A: To find: Greatest value of the the function, ab+bc+cd+da. Given: The values of a, b, c and d are 3,…

Q: n! an-"b". r!(n - r)! r = 0

A:

Q: Find the term of (a – 2b)3 that has b in it. |

A:

Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

A:

Q: (d) an 10"+1 +3 x 4"-1+5 is divisible by 9 for all n2 1,

A:

Q: The number 735000 factors as 23⋅3⋅54⋅72. How many divisors does it have? Explain your answer using…

A: First of all, write the given number 735000 in prime factorization form, which is given below

Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

A:

Q: Find the result of 5 + 4 using the definition of addition

A: addition is summing up of two or more numbers

Q: Q3) by 47 Show that 4(44!)+49 is divisible

A: Wilson's theorem says that for any prime number p we have p-1!≡-1 modp Since, 47 is a prime number,…

Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

A:

Q: Evaluate 12k – h² when h=2 and k=3 - Search entries or author Unread Reply

A:

Q: Show that 3-4" + 51 is divisible by 3 and 9 for all positive integers n.

A:

Q: Please Prove whether it is True or False. The value of nª - n² is divisible by 6 for any integer…

A: To prove that whether the given statement is true or false

Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

Q: In a round-robin chess tournament, each player is paired with every other player once. The formula 2…

A:

Q: Find all x such that 7x+3 is divisible by 9.

A:

Q: 4503 is divisible by 2,3,,5,6,9or 10

A: 4503 is divisible by 2, 3, 5, 6, 9 or 10.

Q: (ak . aza1a0)10- How many digits do you need to know to decide if x is Consider x = ... (a.)…

A: (a) The divisibility rule of 7 states if the difference of twice the unit digit of the number and…

Q: 8 The middle term in the expansion of +2y is - (a) 35x'y (b) 70x*y (c) 140x'y (d) 35x'y 4

A: The given expression is  x2+2y8 To find the middle term of the given expression, we expand it using…

Q: Find the product. 3ab (86 +2a262+4a2 %3D

A: Our Aim is to find the product of the expression given below:-3ab(8b+2a2b2+4a2+1)=?

Q: Show that 42n -1 is divisible by 5 for n>0

A:

Q: What is the process of the calculation, why k does not multiply with i?

A:

Q: The conjugate of the binomial a +b is _______.

A: Given:The conjugate of the binomial a+b is______

Q: 13. Find mLKMN. K 66° (10x+18)°

A:

Q: Find the term of (x2 +x3)00 that has x185 in it.

A:

Q: 11. Perform the following operations: a) (5a3 + 3x2 + 62 + 1) – (2a³ + 7x + 3) b) (32 + 7x + 2)(4x²…

A: