a) Suppose that in the binomial expansion of (1 + m2)", where m and Kare non-zero constants, the coefficient of JL is 8 and the coefficient oF 2² is 30. Find m and K values. M = K = 3 Find the coefficient of IC in the above expansion. c) Given, (2+ax) (1 +bx)² = 2-41x + 357x³²... Where a and 6 are integers. Find a and 6 a = ? b = ?

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

A: We will find the 8th term.

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

A:

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: 3 Find the term in x³ in the expansion of (x-3)8. b Hence, find the term in x³ in the expansion of…

A:

Q: 1. Use the binomial theorem to expand (a) (1+x)* and (b) (1+x). 2. Use the binomial theorem to…

A:

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Write down the expansion of : 4 1 3x 2 by the binomial theorem.

A:

Q: Find the sum of coefficients in the expansion (2x+1)^3 (x+2y)^4. 2610 2817 2187 2160

A: We can solve the problem by expanding this and adding them

Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

A:

Q: ) Write the expansion of (3 + 2x) and use the first three terms of the expansion to approximate3.26.

A: Concept is binomial theoram  3.2 = (3+0.2) 0.2 = 2x0.1

Q: n (x - 1)" The sixth term of the expansion of x is 1287 8 X 3125 . Determine n.

A: Let us consider the expression a+bn. The binomial expansion of the given expression is , a+bn=C0n…

Q: Answer the following: a) What is the general term of (x-y)xy? b) In the expansion of (1+x)^n the…

A:

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

A:

Q: 12. Use the Binomial Theorem to expand the expression (2x-3y). Show your work.

A:

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

A:

Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

A:

Q: (x³ + })*

A:

Q: The second, third and fourth terms in the binomial expansion (x + a)" are 240, 720 and 1080,…

A:

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: 2. (a) Given that (2 + x)" (1-x)" =+ pa³+qx²+7x+s, determine the values of P.4.9, and s. (b) Without…

A: Step 1: Step 2: Step 3: Step 4: