Question

for any real numbers a,b and c, find the smallest possible value that the following expression can take:
$2a { }^{2} + 21b {}^{2} + 12c {}^{2} - 12ab - 12bc + 24b - 48c + 128$
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Answer 1

Answer:

$[tex]2a { }^{2} + 21b {}^{2} + 12c {}^{2} - 12ab - 12bc + 24b - 48c + 128$

[/tex]