Binomial Expansion and General Term

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Expand the expression in increasing powers of x, up to the term in x³.
(3+2x)⁵

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Expand to the first four terms $$\left(8-\frac{x}{2}\right)^5$$ , in ascending powers of x.

$$\left(8-\frac{x}{2}\right)^5$$ =​ (a)   +​ (b)   x+​ (c)   x²+​ (d)   x³+...

What is the 6th term in the expansion of $$\left(3x+y\right)^{11}$$ ?

Find the coefficient of the x⁵ term in (5x+1)¹¹.  

(a)  

The term independent of x in the expansion of  $$\left(x^3+\frac{3}{x^2}\right)^{15}$$  is

(a)  

Find the coefficient of the term in $$x^{-5}$$ in $$\left(x-\frac{2}{x}\right)^9$$

Find the coefficient of x² in the expansion of $$\left(3-2x\right)^2\left(2-\frac{x}{4}\right)^9$$