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Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: Using the Binomial Theorem & Pascal's Triar expand the binomial, (a - b)* A. a -4ab3 + 6a?b? - 4a³b…

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Q: How many terms are there in the multinomial expansion of (x₁ + x₂ + ...........+xr)n?

A: Multinomial expansion :  (X1 + X2 + X3 + ......Xr)n  We have to calculate no. of terms in this…

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

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Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 12 Find the term of (a – 3b)" that has b in it.

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Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: -7 5 1 9 0 -2 -1 2 -1 4

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Q: Select and order the steps to prove the special product pattern for the square of a binomial. Step…

A: A square of a binomial is of the form (c+d)2  We first write it as a product (c+d)(c+d)Then we…

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: Find the coefficient of x4 in the expansion of (2-3x)6

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Q: Use the binomial theorem (more than once) to expand (a+b+c)³.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Factor 10k + 1 into a product of primes for k = 1, 2, 3, 4, 5.

A: The main objective is to factor p(k)=10k+1 into product of primes for k=1,2,3,4,5.

Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

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

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Q: 7. How many terms are there in the multinomial expansion of (x₁ + x₂ + ... .+x)"? ******..

A: We want to find the number of terms in the multinomial expansion of x1 + x2 + ... + xrn

Q: Factor the binomial. 147z° – 108n 8. 10

A: Here we factor the binomial147z8-108n10

Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: 42. The term that does not contain x in the expansion of 8x +

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Q: 10. 15gr, 20s

A: Given

Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

Q: expansion of (1-2m)“

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Q: (3) Find the prime factorization b. 180

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Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

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Q: 4. Find the 11th term in the expansion of 25 3x + 5xi

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Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: Expand 2(c+ 3).

A: Distributive property states that if x,y and z are three real numbers then x(y+z)=xy+xz.