14. What are the coefficients of xy20 and x¹7y9 in the expansion of (5x - y)25?

Q: 1. In your own words, what is the binomial theorem. Find the 5th term of (x+7)

A: Given : x+77

Q: 6. Find the coefficient of x in the binomial expansion of 3. , if exists. 2.x?

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Q: 9. Let n be a positive integer. The coefficient of x³y5 in the expansion of (1 + xy + y²)n equals A.…

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Q: What are the coefficients of æ5000 and æ4999 in the simplified expansion of (5æª – 2)²2021?

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Q: for

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Q: .What is the coefficient of x7 is the expansion of (2x°+)29 ? [if the answer has a form like…

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Q: 11. Home Work. Use Binomial Theorem to find the coefficient of 232 in the expansion of (a¹ + 3)¹5 1…

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Q: 1. 1+ x +x? + x' + x* Find the coefficient of x25 in the expansion of

A: We have to find the coefficient of x25 in the expansion of 11+x+x2+x3+x4.

Q: 25. Which is the correct expansion of (x + 4y)³ using the binomial theorem? O ○ (x + 4y)³ = (3)…

A: Given, (x+4y)3

Q: 3. For the following terms from the expansion of 10 (a + b)¹⁰ state the coefficient in both „C, n r…

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Q: Write the expansion of each expression using sigma notation. 19 (-Sm – 7n)" 19 19-7 (-Sm)"(-7n) Y-0…

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Q: Q. 4. Convert the number(4215.245), to octal. Q. 5. Show that "-'C. r-1 11 2 Q. 6. Find the…

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Q: Use the binomial theorem to expand the expression (u - 5v)¹

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Q: 4.-Use the binomial theorem to find the first four terms of development 1 (4 + x)2

A: We have to find the first four terms of the expression (4+x)−12, we'll first rewrite it…

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

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Q: Find the sum of the coefficients in the expansion of (2x² + X a. 15,625 b. 10,765 C. 20,485 d.…

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Q: 16. Find the term containing x18 in the binomial expansion of (x2- y)15.

A: A binomial expression is an expression of the form a+bn. This binomial expression can be expanded…

Q: 11. Which is the correct expansion of (x + 4y) using the binomial theorem? O(x+4y)³ = (x) (4y) +…

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Q: 6. Find the coefficient of x* in the binomial expansion of| 3 , if exists. 4 2.x

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

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Q: 2 -1 2 3 0 1 5 1 -2 03 -2 -4 1 6 7. Check your answer in item 6 using Cofactor expansion. 1

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Q: Which of the following is not a possible variable term in the expansion of (x + y)6?  xy5  x4y2…

A: Given the query is to find which can not be the term in the expansion of (x+y)6.

Q: 10 6. Consider the expansion of 2r + 9 + 0. The coefficient of the term in x*° is twelve times the…

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Q: 30. Find the term containing y12 in the expansion of (b + y*)". A. 25b³y12 В. 42b8y12 C. 35b*y12 D.…

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Q: 17. The coefficient of x³y in the expansion of (2x + 96 O 72 none of these -3y)4 is O 104

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Q: 5. Use the binomial theorem to prove that C(n, 0) C(n, 1) + C(n, 2) + (-1)"C(n,n) = 0. —

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Q: 7 Find the coefficient of x in the expansion of ( 3x2 3x A. -105 В. 567 С. 1701 D. 504 Е. 386 F.…

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