Question

Question is in attachment answer for 50 points quick.

Answer 1

i hope it is helpful for u bro

Answer 2

༺༒꧁Answer꧂༒༻

вч thє lσng dívíѕíσn mєthσd, wє gєt

${x}^{2} - 2 \sqrt{2x^{2} } - 10x + 12 \sqrt{2} \div x - \sqrt{2}$

$= {x}^{2} + \sqrt{2x} - 12$

вч fαctσríѕíng, wє gєt,

${x}^{2} + \sqrt{2x} - 12 \\ = {x}^{2} + ( 4 \sqrt{2} - 3 \sqrt{2} )x - 12 \\ = {x}^{2} + 4 \sqrt{2x} - 3 \sqrt{2x} - 12 \\ = x(x + 4 \sqrt{2} ) - 3 \sqrt{2} (x + 4 \sqrt{2} ) \\ = (x - 3 \sqrt{2} )(x + 4 \sqrt{2} )$

$x = 3 \sqrt{2} \: \: and \: \: - 4 \sqrt{2}$