Binomial Theorem 2

Which value of n satisfies the given equation?

 $\frac{2}{x^2}\left(8x^2-\frac{5}{2x^3}\right)^6$  
What is the constant term in the binomial expansion of the expression above? 

(Don't use any commas when you type in your answer)

 $\left(2+px\right)^9$  
The coefficient of  $x^4$  in the binomial expansion of the expression above is 2,520,000.  What is the value of p, given that p > 0?

 $\left(4-3x\right)^7$  

What is the coefficient of x in the binomial expansion of the expression above?

• -193563

• -86016

• -20412

• -240920

 $\left(4+ax\right)^6$  
In the binomial expansion of the expression above the coefficient of  $x^4$  is five times the coefficient of  $x^5$ .  What is the value of a? 

• 2

• 3

• 4

• 5

 $\left(2-3x^2\right)\left(2-x\right)^8=a\ +bx+cx^2+...$  
What is the value of a + b + c in the binomial expansion of the expression above?

• 1280

• 1440

• 2456

• 5376