SOLUTION: Please help me use the binomial theorem to expand this expression {{{(2-x)^5}}} I know how to get the answer from the calculator, but I dont know how to get this expression into

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Question 326188: Please help me use the binomial theorem to expand this expression
I know how to get the answer from the calculator, but I dont know how to get this expression into the calculator form.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


You only need to be able to get  on your calculator.
On the TI-84, suppose you wanted, say for example, 9C3

On the cleared main screen, type the value of n (in this example 9)
Press MATH
Press the left arrow
Press 3
type the value of r (in this example 3)
You should see -->  9 nCr 3
Press ENTER
             (in this example you get 84)

------------------------------------------- 


Now we'll set up the terms of the binomial expansion for:



There is always one more term than the exponent.  The
emponet is 5.  So there are 6 terms:

1st term:  

2nd term:  

3rd term:  

4th term:  

5th term:  

6th term:  

Observe that pattern carefully so you can do other
binomial expansion problems.

Simplifying 1st term:



Simplifying 2nd term:



Simplifying 3rd term:



Simplifying 4th term:



Simplifying 5th term:



Simplifying 6th term:



So:



Edwin

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