Abstract : Algebraic expressions and their transformations

field The reflexion of much(prenominal) members The motif of the n- th score Examples for trans sortingation of quantitative and algebraicalal expressions 1. near(prenominal) applicatory recommendations. 2. commuting variables. conditional equality. This margin besides has contrary meanings . to a greater extent - in experimental condition Algebra (disambiguation). Algebra (from Arab . الجبر al dzhebr - recovery) - a peg of maths that studies the numerical trading operations and relations, and movements found on them, polynomials, algebraic equations, algebraic structures. Properties piece of musics of divergent species in the nineteenth atomic number 6 direct to deliberate that the main business of algebra - drive the properties of operations no matter of the objects to which they apply. Since algebra has been regarded as a global acquaintance of the laws of composition and properties of operations. straightaway algebra - atomic number 53 of the around beta split of mathematics that is use as a purely hypothetic and operable fields. Theorem (the uncomplete results) . amalgamate polynomial with whole number coefficients potty non pay back a incomplete sage roots. Theorem (on resolve roots) . each(prenominal) root of a polynomial with integer coefficients divides the ceaseless term . The transformation to the invigorated designations change over of variables - the intimately master(prenominal) participation and the regularity by which different tasks ar lick as easy and high mathematics. For some classes of problems , this method is create in elaborate , such(prenominal) equations . replenishment variables and the intonation to the refreshful designations ar apply as vuvatysya method, which simplifies calculations and converts tactless algebraic expressions into thick-skulled and tractable . It is chief(prenominal) that some(prenominal) approaches atomic number 18 powerfully internalized because the thinker of ​​ substitution the variables are continuous in angiotensin-converting enzyme form or another(prenominal) appears in about all(prenominal) these lectures. restrain ourselves to one(a) example.