Question

factorise (i) 7√2x^2 - 10x - 4√2

Answer 1

$7 \sqrt{2} {x}^{2} - 10x - 4 \sqrt{2} \\ \\ = 7 \sqrt{2} {x}^{2} - 14x + 4x - 4 \sqrt{2} \\ \\ = 7 \sqrt{2} x(x - \sqrt{2} ) + 4(x - \sqrt{2} ) \\ \\ = (x - \sqrt{2} )(7 \sqrt{2} x + 4)$

Answer 2

7√2x² - 10x - 4√2


=> 7√2x² - ( 14 - 4 ) x - 4√2

=> 7√2x²- 14x + 4x - 4√2

=> 7√2x( x - √2 ) + 4( x - √2 )


=> ( x - √2 ) ( 7√2x + 4 )