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

Explanation:


1) Length = 14x - 3x² + 2y

2) Width = 5x - 7x² + 7y

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

4) Calculate:

i) Distribute the negative sign in front of the second polynomial:

14x - 3x² + 2y - 5x + 7x² - 2y

ii) Combine like terms:

9x + 4x²

5) Answer: 9x + 4x²