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Maths C1 Completing the square Watch

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1. Can someone go over this with me in a easy way? I've been reading it and I somewhat get it but sometimes when I look at answers to questions I'm confused on why it is there, just something like "Do this for a coefficient of x^2" and a way of doing it for something not 1
2. here is an example:
*
y = 3x2 -12x +1

y = a( x + b)2 -c

y = ax2 + 2abx + ab2 - c

now compare the x2 terms, the x terms and the number terms:
*
====> a = 3

====> 2*3*b = -12

====> 2*b2 - c = 1*
3. I have it now, thanks. The book I'm using just didn't explain it well enough

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Updated: October 5, 2016
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