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

Algebra.Com
Question 90331This question is from textbook Algebra and Trigonometry
: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x. This question is from textbook Algebra and Trigonometry

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x.
large square - inner square
f(x) = x^2 - (x-3)^2
f(x) = x^2 - (x^2 - 6x + 9)
f(x) = x^2 - x^2 + 6x - 9
f(x) = 6x - 9
:
Did this make sense to you?

RELATED QUESTIONS

From a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by Nate)
from a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by Nate)
From a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by 303795)
From a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by stanbon)
From a square piece of cardboard with width x inches, a square of x - 3 inches is removed (answered by ptaylor)
question states: from a square piece of cardboard with width x inches, a square of... (answered by rchill)
FROM A SQUARE PIECE OF CARDBOARD WITH WIDTH x INCHES, A SQUARE OF WIDTH x-3 INCHES IS... (answered by uma)
From a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by Earlsdon)
From a square piece of cardboard with width x inches, a square of width x-3 inches is... (answered by checkley71)