Question

Written as a simplified polynomial in standard form, what is the result

when (3x - 1)2 is subtracted from x² + 2?

Answer 1

Explanation:

Squaring the first term and collecting the terms one obtains

-8x^2 + 6x + 1

Answer 2

`x^2+2~~ - ~~(3x-1)^2\implies x^2+2~~ - ~~(3x-1)(3x-1) \\\\\\ x^2+2~~ - ~~\stackrel{ \textit{F O I L} }{(9x^2-6x+1)}\implies x^2+2~~ - ~~9x^2+6x-1 \\\\\\ x^2-9x^2+6x+2-1\implies -8x^2+6x+1`