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Rewrite the expression \(g^4 + 12g^2 + 9\) in the form \(c(g^2 + p)^2 + q\). What is q?

 Jul 16, 2019
 #1
avatar+18961 
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let   l = g^2   sub in

 

l^2 + 12l + 9      complete the square

 (l + 6)^2  - 27      put g  back in

 

(g^2 +6)^2 - 27          q = - 27

 Jul 16, 2019

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