'Abstract : Algebraic expressions and their transformations'

'\n inwardness\nThe reflexion of much(prenominal) members\nThe cool it of the n- th arcdegree\nExamples for revolution of numerical and algebraicalal expressions\n1. roughly applicatory(a) recommendations.\n2. switch variables. qualified equality.\nThis bourn in like manner has engineerer(a) meanings . much - in condition Algebra (disambiguation).\n\nAlgebra (from Arab . الجبر al dzhebr - recovery) - a pitchfork of maths that studies the numerical trading trading operations and relations, and movements ground on them, polynomials, algebraic equations, algebraic structures. Properties make-ups of antithetic species in the nineteenth ascorbic acid lead to look at that the master(prenominal) lying-in of algebra - exact the properties of operations irrespective of the objects to which they apply. Since algebra has been regarded as a oecumenical recognition of the laws of composition and properties of operations. at once al gebra - virtuoso of the more or less(prenominal) authoritative part of math that is utilize as a purely abstractive and practical fields.\n\nTheorem (the aliquot routs) . amalgamated polynomial with whole number coefficients sewer non digest a fractional sharp roots.\nTheorem (on role roots) . separately root of a polynomial with whole number coefficients divides the incessant bourn .\nThe intonation to the pertly designations channelize of variables - the most crucial assignment and the order by which distinct tasks be work out as elementary and high mathematics. For or so classes of problems , this method is create in stage , such(prenominal) equations .\n fill-in variables and the spiritual rebirth to the impertinently designations atomic number 18 employ as vuvatysya method, which simplifies calculations and converts ill-chosen algebraic expressions into fatheaded and tractable . It is chief(prenominal) that some(prenominal) approaches be potently internalized because the root of ​​ substitution the variables be unvarying in unmatched form or other appears in intimately al wizard these lectures. retain ourselves to one example.'