Question

Factorise 2 root 2x^2 + 9x + 5 root 2

Answer 1

$2\sqrt{2} x^{2} + 9x + 5\sqrt{2}$

/* Splitting the middle term, we get */

$= 2\sqrt{2} x^{2} + 4x + 5x + 5\sqrt{2}\\= 2\sqrt{2} x^{2} + 2\sqrt{2} \times \sqrt{2}x + 5x + 5\sqrt{2}\\= 2\sqrt{2}x( x + \sqrt{2}x ) + 5( x + \sqrt{2}) \\= (x + \sqrt{2}x )( 2\sqrt{2}x + 5 )$

Therefore.,

$\red{ 2\sqrt{2} x^{2} + 9x + 5\sqrt{2}} \\\green { = (x + \sqrt{2}x )( 2\sqrt{2}x + 5 ) }$

•••♪