1. Find the coefficient of 2³6 in the expansion of 6 (1 +5x²5 + 12x50⁰) (x+x² + x³ + x¹ + x³ +rº + x² + x³ + x³ +: - x² + x¹0) ¹ "¹(E) Σ

Q: 1) (a) Determine the simplest form of the expansion of (2x4 - 1) 4. 4x (b) Determine the coefficient…

A: Consider,(1) (a) Given,(2x4−4x1​)4use the binomial theorem formula to simplify the given…

Q: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: What is the coefficient of z5y¹2 in the expansion of (1x + 2y)¹7?

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Q: in (4) d. [5in(x+6) - In(x) - In(x² - 25)]

A: Solve the expression

Q: Write out the first three terms in the expansion of (x + y)^20

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Q: ) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the…

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Q: Compute the constant term in the expansion of (2x³ + ½)¹².

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Q: Find the term that does not contain x in the expansion of (12x − 3)³.

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Q: 1. Suppose when using the Binomial Theorem an expansion turned out to be the expression as shown…

A: Formula for Binomial theorem: a+bn=an+nan-1b+nn-12!an-2b2+nn-1n-23!an-3b3+.....+bn Given expression:…

Q: a) Determine the coefficient of x^3*y^4 in the expansion of (2x+y)^12. b) Determine the coefficient…

A: The objective of the question is to find the coefficients of specific terms in the expansion of…

Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

Q: What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: By Binomial theorem (a+x)n=∑m=0nncman-mxm Here (x+1)14=∑m=01414cmx14-m1mNow the coefficient of…

Q: Find the 2nd term in the expansion of (3x + y) in simplest form.

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Q: Which term of the expansion of (6+6)26 contains 30 Term number contains 30 x

A: Given: An Expansion of x6+626. We need to find which term of the expansion contains x30. To…