Question

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Answer 1

`2x-(x-3)^2 -3(x+2)^2\implies 2x-(x-3)(x-3) -3(x+2)(x+2) \\\\\\ 2x-\stackrel{ \textit{F O I L} }{(x^2 -6x+9)} -3\stackrel{ \textit{F O I L} }{(x^2+4x+4)} \\\\\\ 2x-(x^2 -6x+9)-(3x^2+12x+12) \\\\\\ 2x+(-x^2 +6x-9)+(-3x^2-12x-12) \\\\\\ 2x-x^2 +6x-9-3x^2-12x-12\implies 2x+6x-12x-x^2-3x^2 -9-12 \\\\\\ ~\hfill~-4x-4x^2-21~\hfill~`