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numbers and algebraic expressions
logic, sets, intervals
absolute value
function and its properties
linear function
quadratic function
polynomials
rational function
exponential function
logarithm
number sequences
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derivative and integral of functions
trigonometry
plane geometry
analytic geometry
solid geometry
combinatorics
probability
elements of statistics
kropki game
Short multiplication formulas: (a+b)^2 = a^2 + 2ab + b^2, (a-b)^2 = a^2 - 2ab + b^2, (a-b)(a+b) = a^2 - b^2, (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3, (a-b)^3 = a^3 - 3a^2b + 3ab^2 + b^3, a^3 + b^3 = (a+b)(a^2 - ab + b^2), a^3 - b^3 = (a-b)(a^2 + ab + b^2).