Maple 9 Learning Guide - Maplesoft

168 • Chapter 6: Evaluation and SimplificationSimplifying ExpressionsThe results of Maple simplification calculations can be very complicated.The simplify command tries to find a simpler expression by applying alist of manipulations.> expr := 4^(1/2) + 3;expr := √ 4 + 3> simplify( expr );5> expr := cos(x)^5 + sin(x)^4 + 2*cos(x)^2> - 2*sin(x)^2 - cos(2*x);expr := cos(x) 5 + sin(x) 4 + 2 cos(x) 2 − 2 sin(x) 2 − cos(2 x)> simplify( expr );cos(x) 4 (cos(x) + 1)Simplification rules are recognized for trigonometric expressions, logarithmicand exponential expressions, radical expressions, expressions withpowers, RootOf expressions, and various special functions.If you specify a particular simplification rule as an argument to thesimplify command, then it uses only that simplification rule (or thatclass of rules).> expr := ln(3*x) + sin(x)^2 + cos(x)^2;expr := ln(3 x) + sin(x) 2 + cos(x) 2> simplify( expr, trig );ln(3 x) + 1> simplify( expr, ln );ln(3) + ln(x) + sin(x) 2 + cos(x) 2