The length of a rectangular field is represented by the expression 14 x minus 3 x squared plus 2 y The width of the field is represented by the expression 5 x minus 7 x squared plus 7 y How much greater is the length of the field than the width?
Answer
A
19 x plus 4 x squared plus 9 y
B
19 x minus 10 x squared plus 9 y
C
9 x plus 4 x squared minus 5 y
D
9 x minus 10 x squared minus 5 y
Explanation
To find how much greater the length is than the width, subtract the width from the length: (14x − 3x² + 2y) − (5x − 7x² + 7y). Combine like terms to get 9x + 4x² − 5y, which matches “9x plus 4x squared minus 5y.”
AI-written and checked against the verified answer.