SOLUTION: question states: from a square piece of cardboard with width x inches, a square of width x-3 in is removed from the center. write are of remaining piece as a function of x

Algebra ->  Functions -> SOLUTION: question states: from a square piece of cardboard with width x inches, a square of width x-3 in is removed from the center. write are of remaining piece as a function of x      Log On


   

Question 55078: question states:
from a square piece of cardboard with width x inches, a square of width x-3 in is removed from the center. write are of remaining piece as a function of x
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with a square piece that is x inches wide, the area is x%5E2 per definition for finding the area of a square. If the inner square is (x-3) in width, it's area is %28x-3%29%5E2. So the remaining area becomes x%5E2-%28x-3%29%5E2, which expands to x%5E2-x%5E2%2B6x-9, which reduces to 6x-9.