Consider a square with side length s. now increase the width and decrease the length by 6. which polynomials represent the area of the new figure?

Answer:
A1 =L W = s * s = original area
A2 = (s - 6) (s + 6) area of new figure
A2 = s^2 -36 area of new figure
Note: a^2 - b^2 = (a - b) (a + b)
Check: Suppose the original square was 12 X 12
A1 = 144 and A2 = 18 * 6 = 108
Or 144 - 108 = 36