Master Algebra with 'Value Putting', 'Symmetry', and 'Degree Check'. Covers Identities, Polynomials, Remainder Theorem, and Linear Equations.
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<li>$(a+b)^2 = a^2 + b^2 + 2ab$</li>
<li>$(a+b)^3 = a^3 + b^3 + 3ab(a+b)$</li>
<li>$a^3 + b^3 + c^3 - 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca)$</li>
<li><strong>Condition:</strong> If $a+b+c=0$, then $a^3+b^3+c^3 = 3abc$.</li>
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<li><strong>Rule:</strong> Denominator $\ne 0$. Options must be unique.</li>
<li><strong>Golden Values:</strong> Try $a=1, b=1, c=0$ or $a=2, b=1, c=-3$.</li>
<li><strong>Symmetry:</strong> If variables are symmetric, try $a=b=c$.</li>
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<li><strong>Remainder Theorem:</strong> If $P(x)$ is divided by $(x-a)$, remainder is $P(a)$.</li>
<li><strong>Factor Theorem:</strong> If $P(a) = 0$, then $(x-a)$ is a factor.</li>
<li><strong>Roots:</strong> For $Ax^2+Bx+C=0$, $\alpha+\beta = -B/A$, $\alpha\beta = C/A$.</li>
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