Question

the length of a rectangular goals is represented by the expression 14x-3x^2+2y. the width of the field is represented by the expression 5x-7x^2+7y. how much greater is the length of the field than the width

Answer 1

Answer: 9x + 4x²


Step-by-step explanation:


1) Length = 14x - 3x² + 2y


2) Width = 5x - 7x² + 7y


3) Length - width = [14x - 3x² + 2y] - [5x - 7x² + 7y]

4) Calculate:


i) Distributive property


14x - 3x² + 2y - 5x + 7x² - 2y

ii) Combine like terms:


9x + 4x²


5) Answer: 9x + 4x²