Final answer:
The quadratic terms in the equation 2x²−3y²−4xy=36 are 2x², −3y², and −4xy. The constant 36 is not a quadratic term. Option a) 2x², 3y², 4xy is the correct answer.
Step-by-step explanation:
The terms in the equation 2x²−3y²−4xy=36 that represent quadratic functions are 2x², −3y², and −4xy. These are the terms with variables raised to the second power, either alone or in combination with another variable. The term 36 is a constant and does not represent a quadratic term.
Quadratic functions are polynomials of degree two, generally in the form ax² + bx + c. In the provided equation, 2x² and −3y² are clear quadratic terms. The term −4xy, although it involves a product of two different variables, is still part of the general quadratic form, which may include xy terms in equations with multiple variables, and therefore can be considered a quadratic term as well.
The correct choice from the given options is a) 2x², 3y², 4xy.