The length of the rectangular field is [tex]14x-3x^2+2y[/tex], and the width is [tex]5x-7x^2+7y[/tex].
To find how much greater is the length of the field than the width we need to subtract the width from the length, so we have:
[tex](14x-3x^2+2y)-(5x-7x^2+7y)=(14x-3x^2+2y)-5x+7x^2-7y[/tex].
Operating with the equal degree and variable terms, this difference is equal to
[tex](14x-5x)+(7x^2-3x^2)+(2y-7y)=9x+4x^2-5y[/tex]
Answer: A