Question

2 x square - 2 root 2 x + 1

split the middle term and factorise

Answer 1

$2 {x}^{2} - 2 \sqrt{2} + 1$

$2 {x}^{2} - \sqrt{2}x - \sqrt{2}x + 1$

$\sqrt{2} x( \sqrt{2} x - 1) - 1( \sqrt{2} x - 1)$

$( \sqrt{2} x - 1) ( \sqrt{2} x - 1)$

${( \sqrt{2}x - 1) }^{2}$