C (iii) Find the term in xy in the expansion of (x + 2y)(2y – 4x)(4 + 3y).

Q: 1) (a) Determine the simplest form of the expansion of (2x4 - 1) 4. 4x (b) Determine the coefficient…

A: Consider,(1) (a) Given,(2x4−4x1​)4use the binomial theorem formula to simplify the given…

Q: What is the coefficient of xy³ when (2y-x)° is expanded by the binomial theorem?

A:

Q: (1+ 2x + 4x? +8x + ...)(3x² + 3x* + 3a° + · . .)(x³ + 2a® + 3x° +

A:

Q: Which is the correct expansion of (x+4y)^3 using the binomial theorem?

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: 1. Use the binomial theorem to expand (a) (1+x)* and (b) (1+x). 2. Use the binomial theorem to…

A:

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: Find the coefficient of x3y2z3w in the expansion of(2x + 3y − 4z + w)9.

A: The given expansion is 2x+3y-4z+w9. We have to find the coefficient of x3y2z3w.

Q: Find the 5th term in the expansion of x3 7 2y2) x2

A: The expression is  x3-2y2x27

Q: 4. Find the expansion of (x + y)6 using Binomial Theorem.

A:

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

A:

Q: Write the binomial expansion for (x+3)°. ..... (x + 3)° =D

A: Solution...

Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

A:

Q: What is the rule for this pattern? (figure 1 is 1 block) Of(x)=n+2 Of(x) = 2n Of(x)=n-1 Of(x) = 2n-1

A:

Q: Q.29 Expand the following: (i) (4a– 2b–3c) (ii) | 2p -3 || 2p 1 y+-z (iii)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A:

Q: What is the result of this Lambda expression? (λ(x) 4 * 2x + 3x)  (2)

A: The lambda expression (λ(x) 4 * 2x + 3x) defines a function that takes a single argument ` x ` and…

Q: Compute the constant term in the expansion of (2x³ + ½)¹².

A:

Q: Compute the coefficent of x8    in the expansion of (3x -2)13

A: The given expression is,

Q: Find L-1 [.

A:

Q: 1. The coefficient of x³y³ in the expansion of (2x + 2y)¹⁰ is 10 2. The constant term in the…

A:

Q: (c) Find the term independent of x in the expansion of, 15 2 +

A:

Q: Consider the binomial theorem to expand (2x + 2y). What is the coefficient of the x²y² term? You…

A: To expand: 2x+2y4 using binomial theorem.   Also find the coefficient of the x2y2 term.

Q: 10 Which term of the expansion of (x²+4) ¹º contains x 20 Term number contains x 20

A:

Q: Show that (m) (2n 4n n

A: As n → ∞, By Striling approximation formula n! tends to  sqrt(2 pie n) (n/e)^n

Q: 2. (a) Given that (2 + x)" (1-x)" =+ pa³+qx²+7x+s, determine the values of P.4.9, and s. (b) Without…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate (z – 2)(z² + 9)

A: We have given an integral;

Q: 1+ 3k 1- 3k] 1 – 3k 1+3k 2 - prove that AK: 2 1 For A : -1 -

A: Given, A=2-1-12   ...i    ....(i)  We need to show that Ak=121+3k1+3k1+3k1+3k    ...ii     Now, A…

Q: Еxpand a about z = 1 (z+1) (z+ 2)

A: