Compute the binomial coefficients. (10)  number 1   6                                     number 2 question (20)   0

Q: Consider the following expression. (2p+39)5 - [(2p)5+ (39)5] 6 (a) Use the binomial theorem to…

A: As we know that a+bn=C0nan+C1nan-1b+…+Cnnbn and nCr=n!n-r!r!.

Q: not use ai please

A: Step 2: Step 3: Step 4:

Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: Expand the expression using the Binomial Theorem. (5p + 1)4

A:

Q: 2. Use the binomial theorem to show that for all integers n 2 1, 3" = 6) + 2 (4) + 2ª (") + 2" (")

A:

Q: a. Coefficient of x1/y21 in the expansion of (3x-2y)38 b. Coefficient of x23y41 in the expansion of…

A: The expression, nr can be defined by the formula, nr=n!(n-r)! r! .

Q: Write down the expansion of : 4 1 3x 2 by the binomial theorem.

A:

Q: (c) Give a 'combinatorial proof' for the following identity. That is, explain that the left hand…

A: We shall answer only question (2c) as asked.We shall use the idea of combinatorics to show the…

Q: Find the indicated terms in the expansion of the given binomial. The last two terms in the expansion…

A: Here given binomial,

Q: Calculate the binomial coefficient. (13'

A: To calculate the binomial coefficient

Q: Find the value of the constant term in the binomial expansion (5x –) . 3 12 (A) (2) 56 36 (B) O 5°…

A:

Q: 5. Choose the correct answer. Which pair of binomials matches the given binomial? p? – 64 O (p – 8)…

A: Given query is to find the correct option for the binomial.

Q: The sum of two binomials is (9-5i) if the first binomial is (-3-2i) what is the other binomial

A: Complex analysis problem....

Q: 3x2 Q1/ A/ Expand with binomial formula: (1- * Q1/B/ Find the value of G? -15 3- 36 = [4 -6 4 -13 -4…

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Q: Use the binomial theorem to prove that n <-D₁ (17) 3¹-*. 2″ = 2-D² k=0

A:

Q: 2. Use the binomial theorem to show that for all integers n2 1, 3" = (6) + 2 (4) + 2² (") + --+ 2"…

A: 3n can be written as (2+1)n which can be expanded by the use of binomial theorem, hence the…

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

A: