Determine the coefficient of a10 in (1 – 3a5) by completing the following given steps.

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

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

Q: Show that for every integer n, n³ + 2 is not divisible by 4.

A: Here, we use rules of divisibility.

Q: Find a factor of 21001  – 1.

A: Given,           21001  – 1

Q: Consider the expansion of x² 10 3

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

Q: In Exercises 9–12, the given expressions are designed to yield results expressed in a form of…

A: The indicated operation is,0.312

Q: Scientific Notation. In Exercises 9–12, the given expressions are designed to yield results…

A: The indicated operation is 614.

Q: a. Use your values of a, b and c to find the term independent of x in the expansion of 5 1 (2 + 9x)2…

A:

Q: 3 Find the term in x³ in the expansion of (x-3)8. b Hence, find the term in x³ in the expansion of…

A:

Q: The fourth term in the expansion (2x – 3) -3 is 270 64x6 O 270 32x6 O 270 64x3 O 540 64x3

A:

Q: ) Find an integer having the remainders 3, 11, 15 when divided by 10, 13, 17, respec- tively.…

A:

Q: In Exercises 9–12, the given expressions are designed to yield results expressed in a form of…

A: The indicated operation is 911.

Q: The coefficient of x²y4z5 in the expansion of (3x+y+z)¹¹ is

A: The given expression is: (3x + y + z)11 To find: The coefficient of x2y4z5 in the expansion of (3x +…

Q: What is the coefficient of z5y¹2 in the expansion of (1x + 2y)¹7?

A:

Q: 4 a) (x² + b) (- x*)*

A:

Q: i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in…

A:

Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

A:

Q: Scientific Notation. In Exercises 9–12, the given expressions are designed to yield results…

A: The indicated operation is 614.

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

A:

Q: In Exercises 9–12, the given expressions are designed to yield results expressed in a form of…

A: Given expression is 911Scientific notation is easy way of expressing both large numbers or too small…

Q: 4. Find all the prime numbers that can be expressed in the form n2 – 9 for some integer n.

A:

Q: Find the tenth term in the expansion (x+3) 2? Select one:

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: a'b in (a + b)'07

A: a+b10 Now the general term is, Tr+1=Crn·an-r·br⇒Tr+1=Cr10·a10-r·br

Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

A: ANSWER :

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…

Q: In Exercises 9–12, the given expressions are designed to yield results expressed in a form of…

A: Given thatTo perform 0.48The result which displayed 1.23E5 as 123,000.The result which displayed…

Q: Write the cycle (1634)(3645) in S7 as a product of disjoint cycles

A:

Q: Find all positive integers n for which n1º +1 is divisible by 10.

A: