Final answer:
The equation (3x-7y)(8x+6y) is a polynomial equation, which is an equation consisting of two or more terms being multiplied together.
Step-by-step explanation:
The equation (3x-7y)(8x+6y) is a polynomial equation. A polynomial equation is an equation that consists of two or more terms, where each term is a product of variables and constants. In this case, we have two terms: (3x-7y) and (8x+6y), which are being multiplied together.
To simplify the equation, we can use the distributive property:
(3x-7y)(8x+6y) = 3x * 8x + 3x * 6y - 7y * 8x - 7y * 6y
Expanding further, we get:
24x^2 + 18xy - 56xy - 42y^2
Combining like terms, we have:
24x^2 - 38xy - 42y^2
Therefore, the equation (3x-7y)(8x+6y) is a polynomial equation.