The difference between the length and the width of the rectangular field is found by subtracting the width expression from the length expression. After simplifying, the final answer is that the length is greater by the expression 9x + 4x² - 5y.
The difference in length between the length and width of the field is calculated by subtracting the width expression from the length expression. We start with the length, which is 14x - 3x² + 2y, and subtract the width, 5x - 7x² + 7y. The subtraction gives us: (14x - 3x² + 2y) - (5x - 7x² + 7y)
By distributing the negative sign through the second set of parentheses, we get: 14x - 3x² + 2y - 5x + 7x² - 7y
Combine like terms: (14x - 5x) + (-3x² + 7x²) + (2y - 7y)
9x + 4x² - 5y
So, the answer is the expression 9x + 4x² - 5y, which represents how much greater the length of the field is than the width.