Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers.

(11x - y)2

I assume you mean (11x - y)^2

There is no variable exponent. The exponent is 2.

Use the "FOIL" rule
(a + b)^2 = a^2 + 2ab + b^2.

http://www.algebrahelp.com/lessons/simplifying/foilmethod/

To multiply using the rule for the square of a binomial, we need to apply the formula:

(a - b)^2 = a^2 - 2ab + b^2

In this case, we have (11x - y)^2. Let's break it down and apply the formula:

First term: (11x)^2 = 121x^2

Second term: 2 * (11x) * (-y) = -22xy

Third term: (-y)^2 = y^2

Now we can put it all together:

(11x - y)^2 = 121x^2 - 22xy + y^2

So the product of (11x - y)^2 is 121x^2 - 22xy + y^2.