Algebra

Completing the Square

Method to convert quadratic to vertex form

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a x^{2} + b x + c = a (x + \frac{b}{2 a})^{2} + c - \frac{b ^{2}}{4 a}

ax^2 + bx + c = a\left(x + \frac{b}{2a}\right)^2 + c - \frac{b^2}{4a}

Solution to quadratic equations ax² + bx + c = 0

Expansion of (x+y)ⁿ

Factorization of difference of two squares