Зх —1 A B (b) (i) Express (1– x)(2 - 3x) in the form - x 2-3x , where A and B are integers. Зх— 1 (ii) Find the binomial expansion of (1— х)(2— Зх) up to and including the term in x?.

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 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: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

A:

Q: Use the Binomial Theorem to expand the binomial (x + 3y)3 and express the result in simplified form.

A:

Q: Use the Binomial Theorem to expand the binomial (x + 2y)5 and express the result in simplified form.

A: Given, Use the binomial theorem to expand the binomial x+2y5 and express the result in simplified…

Q: Write the binomial expansion for the following expression. 4 (6p + 5q)* (6p +5q)* =

A:

Q: Use the Binomial Theorem to expand the binomial (x2 + 2y)4 and express the result in simplified…

A: the given expression is: x2+2y4

Q: Use the Binomial Theorem to expand: (x- 2y)* a. x* - 8x*y + 24x²y² – 32xy + 16y* b. x* - 16y* c. x*…

A: Expandx−2y4

Q: Use the binomial theorem to show that 72 Σ(1) ( **(?). i-0 0.

A: Use binomial theorem to show that given formula.

Q: Use the Binomial Theorem to expand the binomial (2x + 1)4 and express the result in simplified form.

A: Binomial theorem states that: a+bn=an+C1nan-1b+C2nan-2b2+⋯⋯+Cn-1nabn-1+b We have to expand 2x+14…

Q: Calculate the coefficient of 7 in the Binomial expansion of (x² + x−¹)¹7.

A: Given that x2+x-117  This is in the form x+an Here  x=x2  , a=x-1  and n=17   .

Q: (3x - 2) are (x - 1) are factors of which of the following binomial expression

A: