Write the sum of the given geometric series as a rational number. 0.5 +0.05 +0.005+ 0.0005 + ...

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: 2/5+4/8

A: We have to find the sum

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 10 8/10 + 9 7/12=

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

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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: 7/2 + 3 4/6

A:

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

A: I have solved Algebraically

Q: n?_4

A:

Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

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

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Q: find  3/4 + 1/8

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Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

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: 2. Use the Binomial Theorem to expand (3x - 2)6

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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: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: factors of 20 that add up to 9

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Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

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Q: ne binomial:

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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: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A: