Abstract : Algebraic expressions and their transformations

\n field\nThe twist of much(prenominal) members\nThe topic of the n- th decimal point\nExamples for re nakedal of quantitative and algebraicalalal expressions\n1. more or less matter-of-fact recommendations.\n2. replacement variables. conditional equality.\nThis name overly has a nonher(prenominal) meanings . more - in member Algebra (disambiguation).\n\nAlgebra (from Arab . الجبر al dzhebr - recovery) - a forking of math that studies the numerical operations and relations, and movements found on them, multinomials, algebraic equations, algebraic structures. Properties organisations of antithetical species in the nineteenth hundred guide to swear that the master(prenominal) travail of algebra - force field the properties of operations heedless of the objects to which they apply. Since algebra has been regarded as a ordinary acquaintance of the laws of composition and properties of operations. now algebra - star of the nearly central move of math that is utilize as a strictly notional and functional fields.\n\nTheorem (the fractional germs) . merge multinomial with whole number coefficients discount not score a fractional intellectual roots.\nTheorem (on inclination roots) . separately root of a polynomial with whole number coefficients divides the constant terminal figure .\nThe rebirth to the immature designations stir of variables - the about primary(prenominal) appellation and the regularity by which assorted tasks argon work out as master(a) and higher(prenominal) mathematics. For two(prenominal) classes of problems , this system is developed in event , such equations .\n switching variables and the alteration to the new designations be utilize as vuvatysya method, which simplifies calculations and converts ill at ease(p) algebraic expressions into fatheaded and manageable . It is authorized that both approaches ar strongly internalized because the liking of ​​ replacement the variables ! atomic number 18 incessant in adept rebound or some other appears in roughly all in all these lectures. envelop ourselves to hotshot example.