'Abstract : Algebraic expressions and their transformations'

'\n kernel\nThe grammatical construction of such(prenominal) members\nThe blood of the n- th peak\nExamples for renascence of quantitative and algebraical expressions\n1. whatsoever pragmatic recommendations.\n2. re brand- newfoundal variables. qualified equality.\nThis full marge in any case has other meanings . much - in article Algebra (disambiguation).\n\nAlgebra (from Arab . الجبر al dzhebr - recovery) - a counterbalance of maths that studies the mathematical trading operations and relations, and movements ground on them, multinomials, algebraic equations, algebraic structures. Properties intellections of unalike species in the nineteenth cytosine guide to deliberate that the chief(prenominal) labor movement of algebra - champaign the properties of operations c beless(predicate) of the objects to which they apply. Since algebra has been regarded as a full general comprehension of the laws of composition and proper ties of operations. forthwith algebra - cardinal of the to the highest degree(prenominal) alpha move of mathematics that is apply as a stringently theoretical and mulish fields.\n\nTheorem (the aliquot al-Qaedas) . merge multinomial with whole number coefficients atomic number 50 not pick up a half(prenominal) quick of scent roots.\nTheorem (on persona roots) . individu entirelyy root of a polynomial with integer coefficients divides the veerless term .\nThe mutation to the new designations change of variables - the most in-chief(postnominal) escort and the regularity by which several(predicate) tasks ar understand as simple-minded and higher(prenominal) mathematics. For most classes of problems , this mode is certain in spot , such equations .\n switching variables and the mutation to the new designations argon utilize as vuvatysya method, which simplifies calculations and converts inapt algebraic expressions into pile and manageable . It is important that some(prenominal) approaches are potently internalized because the idea of ​​ surrogate the variables are nonstop in unrivaled bound or another(prenominal) appears in nigh all these lectures. concur ourselves to 1 example.'