Expand the following binomials and simplify. a. (2x+ y)" b. (r? +3)* c. Gx+ 3y)*

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: Write the first three terms in the binomial expansion (y3 - 1)21 expressing the result in simplified…

A: To find the binomial expansion of           y3-121 The formula used for binomial theorem expansion:…

Q: 4. Determine the binomial coefficients in the 4th row of Pascal's triangle and use them to expand 3x…

A:

Q: Expand the expression using the binomial theorem. (x + 3)5 (x + 3)° =D

A: consider the equation    x+35

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

A:

Q: EXAMPLE 2 Multiplying Binomials Using FOIL (2x + 1)(3x - 5) = 6x? – 10x + 3x – 5 Distributive…

A: There is also a special method, useful only for a…

Q: 6. Expand the binomial expression (3x-2)', then simplify.

A: Topic = Algebra

Q: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

Q: Write the first three terms in binomial expansion (y3 - 1)20, expressing the result in simplified…

A: The given expression is y3-120

Q: 1. Choose THREE of the following expressions to expand and simplify: [ а. (3х - 4)2 b. (p+4)(p-5) c.…

A:

Q: What is the product of the following binomials? (x – 6) (x + 4) O x - 2x - 24 O x? + 11x + 24 O x2 +…

A: Given Expression x-6x+4  We have to evaluate the product of the following binomials.

Q: For the Boolean expression, what is the correct answer for the MSOP expression? А. 1 B. X С.х D. ху

A: Solution

Q: Use Pascal's triangle to expand the binomial. 6 (d– 5y)º

A:

Q: I. Expand the following binomial powers using Binomial Theorem 1. (3x -2y) 2. (2z -1)* 3. (a +b)

A: The solution are next step is

Q: Simp Polynomiais Simplify the following expressions. B simplified expression in descending o – x(6x…

A: Explanation of the answer is as follows

Q: Use the binomial theprem to expond (xty 5. Hence find the valué of 32(2) 243 from the exgansian of…

A: Consider the binomial expansion formula, a+bn=∑r=1nCrn·br·an-r Substitute a=x and b=y in the…

Q: 9. Charles represented the product of four numbers as x- x3-10x-8x. One number is represented as x…

A: We have the product of four numbers as x4-x3-10x2-8x Since one of the number is x, so the product of…

Q: Expand the following and simplify where possible.   27 + (6x - 9) - (32 -17) + x - (2x + 1)…

A: Given expressions 27 + (6x - 9) - (32 -17) + x - (2x + 1)     27 + (6x - 9 - 32 -17) + (x - 2x + 1)…

Q: B. Simplify each of the following in factorial form. Do not evaluate. a. 12 x 11 x 10 x 9! b. 72 x…

A: The factorial of a integer number is the product of all the integers from 1 to the number. Factorial…

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

A:

Q: Expand the expression using the Binomial Theorem and Pascal's Triangle:   (2x + 1)^3  =   ________…

A:

Q: Expand the expression using the binomial theorem (x + 3)6 (x + 3)° = D

A: Given (x+3)6 We know that (a+b)n=C(n,0)an+C(n,1)an-1b1+....C(n,n)bnFrom the given expression:a=x,…

Q: Find the coefficient of x¯² in the binomial expansion of 9 15 323 x²

A: According to the binomial theorem for an expression of the form x+yn, the binomial expansion would…

Q: Use the Binomial Theorem to expand and simplify (7x + 4)4 4 6 4 1 coefficients:

A:

Q: Expand the following expression:  (2x – 3)6

A:

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which…

A: Amani is trying to find the value of the 4th coefficient in the 10th row of pascal's Triangle. The…

Q: Expand the expression using the binomial theorem. (x- 3)4 (x - 3)* =D

A:

Q: Expand the following expressions: b) (3x-1)(5x-1)

A: We are required to expand the expression : (3x-1)(5x-1)

Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (4r – 2y)' 64x – 96x²y + 48xy²…

A: 4x-2y3 Binomial theorem is, For any positive integer n,…

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

A:

Q: Write the first four terms in the expansion of (4 + 2x)-*.

A:

Q: Use the Binomial Theorem to expand and simplify the expression 2(x- 3)4 + 5(x - 3)² Select one: O a.…

A:

Q: 2) 10! + 1 is not divisible by 11 a) True b) False

A: By using Wilson's Theorem, (p-1)! ≡-1 (mod p) or (p-1)! + 1 ≡0 (mod p)

Q: 1. Expand and simplify each expression. a) (8x – 3) (6x + 7) b) 3(2x + 1) – 2(x -5)?

A:

Q: Add the following two binomials.(−6a7+14a5)+(−23a5−9a7)

A: The given expression is

Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

A:

Q: Expand and simplify using the Binomial Theorem (2a^2 - b)^4

A:

Q: Use the binomial theorem to list to expand the following expression: (3x-9)^4

A:

Q: . Explain how to use Pascal's Triangle to expand the binomial (3x-4y)".

A:

Q: Expand the expression using the binomial theorem. (x - 3)4 (x - 3)* =D

A:

Q: Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11

A: Given data: The given expression is (3x-4y)11. Here, the power of the binomial expression is 11.…

Q: Write the first three terms in the binomial expansion (y3 - 1)20 expressing the result in simplified…

A: The first three terms of the binomial expansion of y3-120 can be written as,…

Q: Evaluate the factorial expression.

A: 2n+1!2n!

Q: (5x + y)15+5 (x+ b) (5x + 15)15- (x + 8)15

A: Answer

Q: Convert the following sequnces between explicit and recursive: a)             an=7n-11…

A:

Q: Which expression represents the difference of (8x³ +6x² + 5) and (5x³ - x²-3x + 1)? 3x³ + 5x² + 3x…

A:

Q: find the simple formula for the product (1-1/2)(1-1/3)...(1-1/n)

A: topic - product of series  answer is 1/n

Q: Which of the following is the correct expansion of (y + 1)(12y2 + 2y + 6)?

A: The given term is y+112y2+2y+6