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Find the area of the metal sheet below that is required to make this square-shaped traffic sign. 9x-2

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(9x-2)(9x-2), we can do it sequentially, by just multiplying one term times the other, and then the other term times the others. So in essence (a+b)(c+d) can be done sequentially by a(c) + a(d) + b(c) + b(d), and polynomial multiplication is done in the same way, FOIL is just a quick shortcut, that only works on binomials, sequentially works on any multiplication.



\bf (9x-2)(9x-2)\implies \stackrel{9x(9x)}{81x^2}+\stackrel{9x(-2)}{(-18x)}+\stackrel{-2(9x)}{(-18x)}+\stackrel{-2(-2)}{(+4)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 81x^2-36x+4~\hfill

User Aaron Douglas
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