Evaluate b²– 2bc + c² if b = 3 and c = –2. 



To evaluate a variable expression, substitute the given number for each variable. 



     b²– 2bc + c² , if b = 3 and c = –2

     

     3²– 2(3)(-2) + (-2)² 

     9 - (-12) + 4

     9 + 12 + 4

     25



A)–7

B)1

C)17

D)25  -------> answer



 

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
 All you need to do on this one is to plug the given values into the expression you are given.

.

The expression is:

.



.

Then let b = 3 and c = -2 so that the expression becomes:

.



.

Term by term this simplifies to:

.





With the substitution of the given values for b and c the value of the entire expression

becomes 25. In your list of answer choices this is Answer D.

.

I hope this clarifies it for you and you can see how to proceed with problems such as these. 

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