I'm so bad at these topics ): I need help with this and some explanation, thanks!

I'm so bad at these topics ): I need help with this and some explanation, thanks!

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 (5x-2)^3+8 / (2x+3)^3 -27 x --> 0

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

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

Asked for national level exam

need help asap please and thank you

In the binomial expansion (a+x)^n where n>4, the coefficient of x^3 is twice that of x^4. 1) Show that n=2a+3 In the same expression, the coefficient of x^2...

using combinations and why.

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.

Give an example of a cubic (degree 3) function that is bijective. Explain why it is bijective. Give an example of a cubic (degree 3) function that is not bijective. Explain why it is not bijective...

Find and explain a counter example to show that the following statement is false: If a, b ∈ R\Q then ab ∈ R\Q.

The choices are. (a) -2250 (b) -1275 (c) 1275 (d) 2250 (e) -49

Use the Binomial Theorem to expand the following: (a+b)^6 (x+1)^7

use the binomial therom

Use binomial theorem

In the expansion of (2+x)^14 multiplied by (1+2/x)^14, find the coefficient of x^12.

Find the term independent of x in the expansion of (1+x+x-3)7 after the expansion is performed. Note that the answer is 141.

Find the term independent of x in the expansion of (1+x+x-3)7.

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