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# Algebra

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Rewrite the expression g^4 + 12g^2 + 9 - 10g^2 + 8 in the form c(g^2 + p)^2 + q. What is q?

May 8, 2022

$$\quad g^4 + 12g^2 + 9 - 10g^2 + 8\\ = g^4 + 2g^2 + 17\\ =g^4 + 2g^2 + 1 + 16\\$$
You know that $$(g^2 + 1)^2 = g^4 + 2g^2 +1$$. Can you find the answer from here?