An expression f(x,y) is said to be symmetric if f(x,y) = f(y,x).
f(x,y) = ax + b + ay
If we interchange x and y, we can get the expression ay + b + ax which is same as ax + b + ay.
|The sum, difference, product and quotient of two symmetric expressions are again symmetric|
An expression f(x,y,z) is said to be a cyclic expression if f(x,y,z) = f(y,z,x).
For the sake of brevity we use the symbols å and Õ to write the cyclic expressions.
å is used for sum of terms and Õ is used for product of terms.
Directions: Choose the correct answer. Also write at least 5 examples of your own.