Do you mean like this: (x + 5)(2x + 7) If so, then it means you multiply.
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when a symbol such as <or> is placed between two expressions
It's called an equation
An equation.
That's called an "operator", for example, the plus sign in 3 + 4. The numbers are the "operands" - that is, the numbers (or expressions) operated upon. More precisely, a binary operator, since it works with two operands. In theory, an operand is just a special way of writing a function, since a third number is calculated, according to certain rules, from the other two.
In general, the period goes within the parentheses (I really wasn't sure it was a good idea.) My paranthetical sentence was just an example ... but I am not sure what you mean by imcomplete thought...... then you would end with ...