Answer
$$36x^2y^2 - 31xy + 3$$
Work Step by Step
To multiply a binomial with another binomial, you want to multiply each term of the binomial with each of the terms in the second binomial. We can use the FOIL method, which states that you first multiply the first terms, then the outer terms, then the inner terms, and, finally, the last terms:
$$4xy(9xy) - 4xy(1) - 3(9xy) - 3(-1)$$
We multiply the terms to simplify:
$$36x^2y^2 - 4xy - 27xy + 3$$
Now group like terms together:
$$36x^2y^2 + (- 4xy - 27xy) + 3$$
We combine like terms:
$$36x^2y^2 - 31xy + 3$$
