## Binomial Theorem Resources in the expansion of (3x + q)^7, the coefficient of the x^5 term is 81,648. Find the value of q.

Cannot find the answer to the following question. Has to do with binomial expansion. n white and n black balls in a bag

A bag contains n white and n black balls. Pairs of balls are drawn at random without replacement successively , until the bag is empty. If the number of ways in which each pair consists of one white... Binomial theorem

It is given that(3-2x)^(3)(1+x)^(n)=a+bx+cx^(2)+...where a, b and c are constant, and n is a positive integer. Express c in terms of n binomial theorem question !!

the first three terms in the expension of (1-4x)^5 (1+ax+bx^2) are 1-23x+222x^2,Find the value of each of the constants a and b

I'm so bad at these topics ): I need help with this and some explanation, thanks! in the expansion of (3x+1)^n, the coefficient of the term in x^2 is 135n, where n E Z+. Find n.

I don't have any idea how to do this! i know how to do binomial theorem but not this. I live in the US and taking Ib sl 2 math as a junior. solve the limit using the binomial theorem: lim x --> 0 (5x-2)^3+8 / (2x+3)^3 -27

solve the limit using the binomial theorem:   lim        (5x-2)^3+8 / (2x+3)^3 -27 x --> 0 Binomial theorem

In the polynomial function f(x) =(x-1)(x²−2)(x³−3)....(x¹¹−11) the coefficient of x⁶⁰ is: ? Using binomial theorem for approximation

I have to approximate 0.99^9, using binomial theorem. I can't figure out how to get it to (1 + x)^9 form.

A natural number, x, is called a power of ten if there exists another natural number, y, such that 10^y = x. Show that the set of powers of ten is countably infinite.