solve( attempts to solve an equation you enter for a variable you specify.
You can (sometimes) solve simultaneous equations this way as well.
factor( attempts to factor the expression you enter. If you change the syntax slightly, you change the results slightly.
cFactor( is under option A:Complex. If you type it in, you don't need the capital F.
expand( is the reverse operation of factor. It also does partial fraction decompositions.
zeros( is almost identical to solve(. Instead of an equation, you enter an expression. The calculator sets the expression equal to 0 and solves. If there are multiple solutions, the answer is a list instead of a compound statement.
approx( gives a decimal approximation to the expression in parentheses. This is equivalent to setting Exact/Approx mode to APPROXIMATE.
comDenom( combines a sum or difference of fractions into a single fraction.
propFrac( rewrites fractions as integers plus proper fractions or polynomials plus fractions with smaller degree in the numerator than the denominator.
nSolve(
is a numerical solution seeker. It looks for one approximate solution to
an equation. It's faster than solve.
This is
different from the Numeric Solver on the APPS menu,
which is an interactive program rather than a command.
The Trig submenu expands or simplifies trigonometric expressions using common trigonometric identities.
The Complex submenu extends the solve, factor, and zeros commands to use complex numbers.
The Extract submenu allows you to isolate the numerator or denominator of a fraction or the left or right side of an equation. It's more useful for writing programs or functions than on the command line. (See the owner's manual for instructions on writing your own programs or multi-line functions.)