Algebra-1

To simplify (-2x²y - 4xy)², we can use the formula for the square of a binomial:

(a - b)² = a² - 2ab + b²

In this case, a is -2x²y and b is 4xy. Substituting these values into the formula, we get:

(-2x²y - 4xy)² = (-2x²y)² - 2(-2x²y)(4xy) + (4xy)²
                =  4x⁴y² + 16x³y² + 16x²y²