Question
Factorise $: 7\sqrt2x^2 - 10x - 4\sqrt2$

Answer

$7\sqrt2x^2 - 10x - 4\sqrt2$
$= 7\sqrt2x^2 - 14x + 4x - 4\sqrt2$
$= 7\sqrt2x( x - \sqrt2 ) + 4( x - \sqrt2 )$
$= ( x - \sqrt2 )( 7\sqrt2x + 4 )$

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