Question

Factorise : $\sqrt{2}{x}^2+9x+4\sqrt{2}$

Answer 1

$\sqrt{2}{x}^2+9x+4\sqrt{2}=\sqrt{2}{x}^2+8x+x+4\sqrt{2}$

$=\sqrt{2}x(x+4\sqrt{2})+1(x+4\sqrt{2})$

$=(\sqrt{2}x+1)(x+4\sqrt{2})$