SOLUTION: Evaluate b²– 2bc + c² if b = 3 and c = –2. A)–7 B)1 C)17 D)25

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Question 73022: Evaluate b²– 2bc + c² if b = 3 and c = –2.
A)–7
B)1
C)17
D)25
Found 2 solutions by rmromero, bucky:
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


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) About Me  (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:
.
b%5E2+-+2%2Ab%2Ac+%2B+c%5E2
.
Then let b = 3 and c = -2 so that the expression becomes:
.
3%5E2-2%2A%283%29%2A%28-2%29%2B%28-2%29%5E2
.
Term by term this simplifies to:
.
9+%2B+12+%2B+4+=+25
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.