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Home » Algebra Just Got More Mysterious—Here’s What Symbolic Degrees Really Mean! - Abbey Badges

Algebra Just Got More Mysterious—Here’s What Symbolic Degrees Really Mean! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Let’s combine the terms on the left-hand side:
\frac{(a + b)^2 + (a - b)^2}{(a - b)(a + b)} = 3
Expand the numerator:
Adding them:
The denominator is:
\frac{2a^2 + 2b^2}{a^2 - b^2} = 3
Factor out 2 in the numerator:
\frac{2(a^2 + b^2)}{a^2 - b^2} = 3
\frac{a^2 + b^2}{a^2 - b^2} = \frac{3}{2}
Question: Let $ g(x^2 + 1) = x^4 + 2x^2 + 2 $. Find $ g(x^2 - 1) $.

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