Find (a + b)“ using the Binomial Theorem. = a* + 4a?b + 6a?b2 + 4a'b² + b4 a = a4 + 4a°b + 6a'b² + 4a'b³ + bª = q³ + 4a³b + 6a?b² + 4a'b³ + b4 d a* + 4a°b + 6a?b? + 4a'b3 + b4

Q: 4) Find the 5th term of (x+ y)°

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Q: Expand the expression using the binomial theorem. (2p-3q)4

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Q: Let (") denote the binomial coefficient (also written as C(n, r) or nCr). Then (,",) + (;) =

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Q: Suppose N = Fox F₁x F2, where the three factors are pairwise prime; hence, each factor and the…

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: The sum of any two integers of the from 4k+ is always: a) prime b) zero c) Even

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Q: 10. Use the binomial theorem to evaluate (2r³ - y) 5.

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Q: Suppose U Binomial(n, p) and n > 2. What is P(U > 1)?

A: It is given that U follows Binomial distribution with parameter n and p.

Q: Expand in binomial theorem (2x-y)7

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Q: State and prove Binomial theorem and also find 18th term in the expansion of (2x - 3y)".

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Q: How do I find f prime of 3 if f(x)=13x/4+x2

A: Given,           fx=13x4+x2

Q: A binomial has two terms. O True O False

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Q: Use the binomial formula to find the coefficient of the q^2y^21 term in the expansion of (2q -y)^23

A: We are going to solve

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Q: Use Binomial Coefficients of x10y3 in the expansion of (x+2y)13.

A: Here the given expansion of (x+2y)13.  the general term of these series is

Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

A:

Q: What is the greatest common factor of 5x^75x75, x, start superscript, 7, end superscript,…

A: The given polynomials are: 5x7 ,   30x4 ,   10x3

Q: 7th term of binomial theorem by (2x^2 + 3y^3)^8.

A:

Q: Find [-2,3) n (-1,5) (3,5) .A (-4,-1) BO [-2,5) .CO (-1,3)

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Q: 7) Use binomial theorem to expand (2x-1)^6

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Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins.…

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Q: State and prove binomial theorem and also find 18th term in the expension of(2x²_3y)²5

A: Explanation of the solution is given below...

Q: How many paths are there from point (0,0) to point (50,50) on the two-dimensional plane if each step…

A: Look at the following diagram: (Note: This is just for illustration and NOT drawn to the actual…

Q: 36. Use the binomial theorem to expand (2x - y)* . A. 16x* – 32x³y + 24x²y² – 8xy³ + y* С. 2x - 4х3у…

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Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

A: We have to find the sum of all divisor of 5020 and then the amicable pair of the number.

Q: If the die above is rolled 120 times, predict the number of times it would land on a multiple of 3.…

A: It is an important part of statistics . It is widely used .

Q: How can I get n^2/2+n/2 based on the pattern of the blocks

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Q: On a space shuttle mission, a certain experiment is started 2 days, 14 hours, and 30 minutes into…

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Q: 2. Show that if 8=(AB)- then - > N - - (AB)² + (aß)² – (αB)² – (AB)² = [(A) − (α)] [(B) − (ß)] +…

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Q: How can the sum of k * (n choose k) = n(2 to the power of n-1) be proven akgebraically ?

A: Step 1: We have to prove that, Now by the binomial theorem, Now, differentiating the both sides of…

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…

Q: Expand 10 (x − 4y) by binominal theorem.

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Q: Suppose U ~ Binomial(n, p) and n > 2. What is P(U > 1)?

A: Solution

Q: Expand: (V2x – 3y)" using Binomial Theorem.

A: To expand the binomial 2x-3y6, substitute 2x for a, -3y for b and 6 for n in the binomial theorem…

Q: Question 22

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Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

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Q: Therefore, the 3rd term in the expansion of (x – 10z)’ is as follows. 7! 7C2x7 - 2(-10z)? 5! (-10z)?…

A: Therefore, the 3rd term in the expansion of  (x-10z)7 is as follows.   7C2x7-2(-10z)2=7!5!2…

Q: Use the Binomial Theorem to expand (x + y) 5 and (x + 2)3.

A: Using the Binomial Theorem, x+yn=xn+nC1xn-1y+nC2xn-2y2+.......+nCn-1xyn-1+nCnxn-nyn And nCr=n!r!n-r!

Q: 3. Use the binomial theorem to find the coefficient of x° in (x+2)3 2. Use the L theorem to find the…

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

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Q: Use the Binomial Theorem to give an expression for , 210-(-3)*x10-kyk O (3x- 2y)10 O (2x - 3y)10 O…

A: See solution below

Q: d the image of the point (-2,4) under the expansion with factor 2 in the direction. ) (2,8) (-2,8)…

A: Given query is to find image of the point after expansion.

Q: Use the Binomial Theorem to expand the binomial,(3x + y)3 and express the result in simplified form.

A: Given that: 3x+y3 The standard form of binomial theorem for any positive integer “n” is given by,…

Q: 3. Determine the 4th term V2m) using the Binomial Theorem.

A: To find: The 4th term of the expression 1m2-2m5 using the binomial theorem. Formula used: The rth…

Q: How many paths are there from point (0,0) to point (50,50) on the two-dimensional plane if each step…

A: Look at the following diagram: (Note: This is just for illustration and NOT drawn to the actual…

Q: Let ab5c be all four-digit multiples of number 36 with different digits. If someone found 7 numbers…

A: Let ab5c be all four digit multiples number 36 with different digits. As 36= 4x9, so the number ab5c…

Q: A ball is dropped from a height of 192 feet. If it rebounds 3 4 of the height from which it falls…

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