New photo imaging techniques on computers allow artists to distort an image from its original shape. Figure 1 is a square image (X x X). Figure 2 is stretched 4 units wider and shrunk 4 units shorter than figure 1. (x+4)(X-4).

Question

New photo imaging techniques on computers allow artists to distort an image from its original shape. Figure 1 is a square image (X x X).  Figure 2 is stretched 4 units wider and shrunk 4 units shorter than figure 1. (x+4)(X-4).
How many square units greater is the area of Figure 1 than the area of Figure 2?

Please solve and explain.  Thanks.

Damon · Answer

difference = x^2 - (x^2 - 16) = 16