The expression that represents the difference of squares for this situation is [tex]x^2-c^2[/tex]
Given the generic x by x grid has c blocks moved to create an (x-c) by (x+c) grid, to get the difference of two squares, we will take the product of the expressions as shown:
[tex]=(x-c)(x+c)\\=x^2+xc-xc-c^2\\=x^2 -0-c^2\\=x^2-c^2[/tex]
Hence the expression that represents the difference of squares for this situation is [tex]x^2-c^2[/tex]
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