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

 Jun 15, 2018
 #1
avatar+18329 
+1

Let x = g^2   substitute

x^2 + 12x   + 9       'complete the square)

 

(x+6)^2   - 36  + 9

(x+6)^2  - 27                Substitue   g^2 = x

(g^2 +6)^2 - 27          q = -27

 Jun 15, 2018
 #2
avatar+101768 
0

Nice work EP

.
 Jun 15, 2018
edited by Melody  Jun 15, 2018

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