1.

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

Answer»

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 ) }

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