echo on
s1 = sym('x^3-1')
factor(s1)   % factor the polynomial
pause % hit the carriage return when ready to continue
s2 = sym('(x-3)^2 + (y-4)^2')
expand(s2)   % multiply all the terms out
pause % hit the carriage return when ready to continue
collect(s2)  % collect is "kinda" the opposite of "expand"
pause % hit the carriage return when ready to continue
collect(s2,'y') % the default is to focus on "x", you can force "y"
pause % hit the carriage return when ready to continue
s3 = sym('sqrt(a^4*b^7)')
simplify(s3)
pause % hit the carriage return when ready to continue
s4 = sym('14*x^2/(22*x*y)')
simplify(s4)
pause % hit the carriage return when ready to continue
diff(s1)
pause % hit the carriage return when ready to continue
diff(s2,'x') %differentiate w.r.t. x
pause % hit the carriage return when ready to continue
diff(s2,'y') %differentiate w.r.t. y
pause % hit the carriage return when ready to continue
diff(s1,2) % return 2nd derivative
pause % hit the carriage return when ready to continue
int('sin(a)')
pause % hit the carriage return when ready to continue
int(s1,0.0,2.0) % integrate from x=0 to x=2
pause % hit the carriage return when ready to continue
taylor(s2)
help taylor % series are powerful