36x2y2

36x2y2 is a compact textual form that is commonly read in algebra as 36 times x squared times y squared, written in standard notation as 36x^2y^2. It represents a single monomial: a product of a numeric coefficient 36 with the squares of two variables x and y. As a consequence, it is a homogeneous polynomial of total degree 4, since the exponents add up to 4 (2 for x and 2 for y).

One useful way to view the expression is as a perfect square: 36x^2y^2 = (6xy)^2. This highlights its nonnegative nature for all real x and y and shows a straightforward path to certain factorizations or substitutions, for example by letting u = xy so the expression becomes 36u^2.

In practice, 36x^2y^2 may appear in expansions, inequalities, or optimization problems where products of powers of variables appear. It has straightforward evaluation: for any real numbers x and y, its value is 36 times the square of the product xy. For instance, if x = 1 and y = 2, the value is 36 × 1^2 × 2^2 = 144.

Related concepts include monomials, polynomial degree, and exponent notation. The expression also illustrates how combining coefficients with variable powers yields a single term that can be manipulated through substitution, factoring as a square, or incorporated into larger polynomial expressions.