SOLUTION: Please help me with this equation: b2-2bc+c2

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Question 64950: Please help me with this equation: b2-2bc+c2
Found 2 solutions by funmath, ptaylor:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If you're supposed to factor:
b%5E2%2B2bc%2Bc%5E2
b%5E2%2Bbc%2Bbc%2Bc%5E2
%28b%5E2%2Bbc%29%2B%28bc%2Bc%5E2%29
b%28b%2Bc%29%2Bc%28b%2Bc%29
%28b%2Bc%29%28b%2Bc%29
%28b%2Bc%29%5E2
You'll eventually want to memorize this: b%5E2%2B2bc%2Bc%5E2=%28b%2Bc%29%5E2
This is a perfect square trinomial.
Happy Calculating!!!

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

To solve: (1) b^2-2bc+c^2=0 We will rewrite this equation to see if we can find factors:
b^2-bc+c^2-bc=0 and
b(b-c)+c(c-b)=0 which equals
b(b-c)-c(b-c)=0
(b-c)(b-c)=0
b-c=0
b=c
ck
substitute b=c in (1)
c^2-2c^2+c^2=0
2c^2-2c^2=0
0=0
Actually, you may be able to solve this problem (get the factors) by trial and error. We know what the factors of c^2 are: (-c)(-c) and (+c)(+c).

Hope this helps. Happy holidays-----ptaylor