Q. 4. Convert the number(4215.245), to octal. Q. 5. Show that "-'C. r-1 11 2 Q. 6. Find the coefficient of x' in the binomial expansion of if exists. 3x

Q: 13. How many ways are there to rearrange the letters in the word "rearrange"? Answer this question…

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Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

Q: .3x = 4(mod5).

A: From the given expression of the modulus, we will have to find out the value of X. This is…

Q: In the expansion of (2+x)"| 1+ find the term that contains x². а. 9x? 25x² с. b. 16x? d. 36x?

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Q: Find the term indep of I in the expansion of 7 文(古一警」 3 S ping to 'TE "ittle tr week

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Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating…

A: We will find the 8th term.

Q: 17. Expand using Pascal's Triangle or the Binomial Theorem. Be sure to show the setup. Then,…

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Q: What are the first and last terms in the expansion of (5x + 4y)*?

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

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Q: Expand 3x + 2y)7 using the binomial theorem. Simplify your final result.

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Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (x- 2)* a. x*-8x3 + 32x + 16…

A: Binomial expansion formula (a+b)n=C0nan+C1nan-1b+C2nan-2b2.......................Cnnbn

Q: 1. The radicals in the expression V18 - Va+ v2x is 2. The radicand of the expression 4Va b3 is 3.…

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Q: Use the binomial theprem to expond (xty 5. Hence find the valué of 32(2) 243 from the exgansian of…

A: Consider the binomial expansion formula, a+bn=∑r=1nCrn·br·an-r Substitute a=x and b=y in the…

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 out the full expansion of (x + y)^7 using either binomial coefficients or Pascal’s Triangle to…

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Q: Write the expansion of each expression using sigma notation. 19 " (-5m - 7n) Я 19 (-Sm)'(-7n) 19-7…

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Q: The fifth term in the expansion of the binomial (a +b)" is given by 10 p° (29)". Write down the…

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Q: Use Pascal's Triangle to expand the binomial (x + 1)° O 25 + 5x4 + 10x + 10x2 + 5x + 1 O g5 - 5x1-…

A: Pascal's triangle…

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: What is the coefficient of ?^11?^13 in the expansion (−3?+4?)^24.

A: It is asked to find coefficient of x11.y13 in the expansion of (-3x+4y)24.

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

A:

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

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Q: 3. (P2, Page 19; Write out the Binomial Formula explicitly for n = 3 and n = = 4. Example: For n =…

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Q: What is the value of the coefficient of the 4th term in the expansion of (a + b)¹2?

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Q: 7) Write all the following as expansions: > 0.2 > V26 V35 > (0.99)-4

A: Given problem is :