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Quadratic Formula

Algebra
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Difference of Squares

Algebra
a2−b2=(a−b)(a+b)a^2 - b^2 = (a-b)(a+b)

Binomial Expansion (Square)

Algebra
(a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2

Log Product Rule

Algebra
log⁡b(xy)=log⁡bx+log⁡by\log_b(xy) = \log_b x + \log_b y

Log Quotient Rule

Algebra
log⁡b(xy)=log⁡bx−log⁡by\log_b\left(\frac{x}{y}\right)=\log_b x-\log_b y

Exponent Product Rule

Algebra
aman=am+na^m a^n = a^{m+n}

Pythagorean Theorem

Geometry
a2+b2=c2a^2 + b^2 = c^2

Area of Circle

Geometry
A=πr2A = \pi r^2

Circumference of Circle

Geometry
C=2πrC = 2\pi r