SOLUTION: From a square piece of cardboard with width x inches, a square of x - 3 inches is removed from the center. Write the area of the remaining piece as a function of x.

Algebra ->  Algebra  -> Functions -> SOLUTION: From a square piece of cardboard with width x inches, a square of x - 3 inches is removed from the center. Write the area of the remaining piece as a function of x.      Log On

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Question 65633: From a square piece of cardboard with width x inches, a square of x - 3 inches is removed from the center. Write the area of the remaining piece as a function of x.
Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
Area = length x width
Area of big square =x^2
area of small square=(x-3)^2=x^2-6x+9
Area of the remaining piece is area of big square - area of small square
Thus,

Area of remaining piece=x^2-(x^2-6x+9)
Area of remaining piece=x^2-x^2+6x-9
Area of remaining piece=6x-9
Hope this helps----ptaylor