If I have a garden that is square with sides of length x feet and next spring I plan to make it rectangular by lengthening one side 3 feet and shortening the other side by 3 feet.

Question

Find a polynomial A(x) that represents the new area.

By how much will the area of the new garden differ from that of the old garden?

Answer 1

Old garden : x by x or x^2
new garden :(x-3) by (x+3)

A(x) = (x+3)(x-3) or x^2 - 9

difference = old garden - new garden
= x^2 - (x^2 - 9)
= 9

Answer 2

Thanks a lot. This really helps me understand the problem better. Hope I can help someday! :)

Answer 3

well the answer is 142