Abstract : Algebraic expressions and their transformations

\n capability\nThe construction of much(prenominal) members\nThe root of the n- th degree\nExamples for alteration of numerical and algebraicalal expressions\n1. Some practicable recommendations.\n2. Substitution variables. qualified equality.\nThis termination withal has other meanings . more(prenominal) - in denomination Algebra (disambiguation).\n\nAlgebra (from Arab . الجبر al dzhebr - recovery) - a branch of maths that studies the mathematical trading operations and relations, and movements based on them, polynomials, algebraic equations, algebraic structures. Properties mans of different species in the 19th deoxycytidine monophosphate led to conceptualize that the main job of algebra - study the properties of operations regardless of the objects to which they apply. Since algebra has been regarded as a usual science of the laws of composition and properties of operations. Nowadays algebra - unmatched of the some every-important (a) parts of mathematics that is used as a rigorously theoretical and practical fields.\n\nTheorem (the fractional roots) . amalgamated polynomial with whole number coefficients can non have a fractional sharp roots.\nTheorem (on purpose roots) . to each angiotensin-converting enzyme root of a polynomial with integer coefficients divides the constant term .\nThe novelty to the newly designations change of variables - the most important assigning and the mode by which different tasks atomic number 18 solved as elementary and high mathematics. For some classes of problems , this method is developed in detail , such equations .\nReplacement variables and the transition to the new designations argon used as vuvatysya method, which simplifies calculations and converts cumbersome algebraic expressions into compact and gentle . It is important that some(prenominal) approaches are strongly internalized because the idea of ​​ replenishment the variables are roun d-the-clock in whiz form or another appears in almost all these lectures. Confine ourselves to one example.