8. The Laurent's expansion of (2² – 1) (2² + 4 for |z|<1 is 5z2 2125 1). 4 64 16 2) + 21 4 4 4 3) - 522 25 4 16 64 322 21z5 4) 을 16 32

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Q: each expression. – 76² + 76) + (5b² – 36* – 36) 4) (6v + 3v² – 6v) – (7»

A:

Q: 7a+48a + 36 \252 3.) Sp-41-36 a-5 :6 c:56 5n-49n+72 6.) 6x-x-12 -49 6 b=X5 0 4a-16a-15 4 -16 15 9)…

A: Given:      5v2-41v-36  Break the expression into group.      =5v2+4v-45v-36      =5v2+4v+-45v-36…

Q: I(f) = μετα fi + 3 +3 N-1 Σ fitfiti + + 2 i=2,5,8,... N-2 Σ i=4,7,10,... f; ] + fN+1

A: Given: Objective: To write the above formula in MATLAB.

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Q: While proving "(n+1)(2n+1) , following will be obtained is an integer for the case n = 6q + 5 which…

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Q: 23) Expand: 2x{x² + 1) - (x° + 5x - x* - 7) A) x* - x² - 3x - 7 B) x* + 2x - 3x -7 C) x' +x - 3x + 7…

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Q: x(x²+1 V2x³ –1

A: to calculate thefollowing expressionlnxx2+122x3-1

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

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Q: 6. (6x – 15)' (2r+ 1)

A: To find x ?

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

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Q: Use the Binomial Theorem to expand the binomial (3x – 5y)*. 81x* + 625y* b. 81x* – 540x'y + 1350x²y²…

A: The expansion of 3x-5y4 by the help of Binomial Theorem is

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Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

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Q: 10. By Binomial Theorem (2a – b)* =16a* – 32a’b+24a*b? – 8ab³ +b* | a. TRUE. b. FALSE.

A: We know the binomial therom expansion

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Q: a) 9x-49 (4x+1)(3x-7) Restrictions for # 2 (a) 1 Restrictions for # 2 (b) x²+7x+6 (x+2)? x'+4x+4…

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Q: (-5) + 4 – 1+ 4- (-21) * (-7)) ova

A: Simplification

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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Q: expand about z=1 (z+1)(z-2)*

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Q: 10 Find the coefficient of x in the expansion of · (3x-1) "⁰.

A: Explanation of the answer is as follows

Q: The sum of 3x² +4x- and x2- 5x+3 is (2) A) 4x2-x+1 B) 4x2 +x- 1 C) 4x2 - x- 1 D) 4x2 +x+1

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Q: +170 4 196 + 779 17) Subtract the sum of 3x²g2 and = 3x²y ² - 3x³y² + Qx²y³ αd - 3x²y3 - 5y4 ad 14.…

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Q: 3 Evaluate ſ x³(4 + x²)ždx

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Q: What is the coefficient of z^4 in the expansion of(z^3+3z+1)^5?

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