4. Consider the expression I x+1 (x + 1)*" (a) How many terms does this expression have? (b) Find the least common denominator of all the terms. (c) Perform the addition and simplify.

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: 2. Find the root using Regula-Falsi Method a) x* - x - 10 = 0 Ans. x = -1.697 and 1.855

A: Follow the procedure given below.

Q: 22-3x-2 factors to (x+1}(x-2}. O True O False

A: Given query is to find statement is true or false.

Q: 2. Write (n – 2)! using product (II) notation.

A: Given : (n - 2)!

Q: What is the coefficient of aº in the expansion of (x + 2)15 + x*(x +3)20?

A:

Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x

Q: What is the exponent on the x variable of the 3st/nd/rd/th term in the expansion of 17 (x2 +3y)" ?…

A: using formula:-

Q: 2. Express (5)"x5 as a Single power with positive t exponents.lyou must show work.)

A:

Q: B. Solve for the indicated term of each expansion. 1. The 7" term of (xi -- 10

A:

Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: In the expansion of (2x+1)n , the coefficient of the x2 term is 40n , where n is a positive integer.…

A: Given (2x+1)^n The solution is given below in the next step

Q: Find the term indicated in the expansion (x3 + y2)8; sixth term.

A:

Q: 2. a) Use long division to divide -x3 – 2x – 1 by x – 1. Express the result in quotient form. b)…

A: Solution is given below:

Q: ) 6. Express the sum 9 + 28 + 65 + ... + (n'+1) using E-notation.

A: We have to find sum of series:

Q: Find the 3rd term in the expansion of (x-3)^7

A:

Q: What is the 5th term in the expansion of (x^3-1/x^2)^20?

A: To find the 5th term in the expansion of x3-1x220.

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: Q2: Find the first four terms in the expansion of (1 - x)-

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the term indicated in the expansion: (x2 + y3)8; sixth term.

A: To find the sixth term of expansion x2+y38

Q: What is the fifth term of the expansion of (x^2 + 1/x)^10?

A: What is the fifth term of the expansion of (x^2 + 1/x)^10?

Q: •* In (x) dx. 2x2 Evaluate (Express numbers in exact form. Use symbolic notation and fractions where…

A: Given: ∫2∞lnx2x2dx To do: Evaluate the given integral.

Q: Show that n2-1 is division by 8, if n is an odd positive integer

A:

Q: 1. Arrange the terms of the dividend in descending powers x-3 ) 2x-3xe -x+ 4

A:

Q: 1. Find the coefficient of x5y3 in expansion of the expression (x + 3y)8 2. Sixteen people attend a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

A:

Q: 2. Show that x - 5x² - 7 = 0 can be arranged to give the formula: x n+1 = √√5(x3) + 7 Using a value…

A:

Q: Find the coefficient of x7 in the expansion of (x + 2)9

A:

Q: 11. Find the fifteenth term in the expansion of (x2 - -) 18

A: Given that, x2-1x18 We have to find the fifteenth term in the expansion of x2-1x18, By using, The…

Q: 5 2) Differentiate h(x) х3—4x2+2 Show all steps. Give answer with positive exponents.

A: h(x)=5x3-4x2+2 We need to differentiate h(x).

Q: find the fourth term in the expansion of  (x +  1   9…

A: Recall the fact that the general term of expansion ( a + b )n is as follows.

Q: 5. (a) Simplify –5 (ry¬1)¯° in a form such that all exponents are positive integers. (b) Solve x²2"…

A: We’ll answer the first three subparts of the question since the exact one wasn’t specified. Please…

Q: 21) The length of a rectangle is represented by x+3x+ 2, and the width is represented by 7x. a)…

A: From the given data

Q: Find the coefficient of x9 in (2-x)19.

A:

Q: d. The first five terms of 2n -1 are....and. (Simplify your answers. Use ascending​ order.)

A:

Q: Suppose you are expanding (5x - 2y)º. a) i) How many terms are there in the expansion? ii) State the…

A:

Q: 4 (a) Write out the multiplication table for Z6. How many times does [0]6 appear in each row of the…

A:

Q: How do you solve this?

A: Given:

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x³(x + 2)15?

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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

A:

Q: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

Q: 8. Show that no prime number of the form 4k +3 can divide a number of the form n2 + 1.

A:

Q: Show that n22-1 is division by 8, if n is an odd positive integer

A: If n is a odd positive integer n can be written as   n = 2k+1 by substituting in n2-1 n2-1 =…

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

A:

Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

A:

Q: Find and simplify: D¿[In(3!nx²-x)]

A: We have to calculate the value of Dx[3ln(x^2-x)]