Boolean algebra is also called switching algebra..

Given, $e\times x=x\times e=x$

Boolean function:

    $x\cdot \left( x+y \right) $

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.