Question

factorise the following by splitting the middle term b) 2√2x power 2 +9x+5√2​

Answer 1

Step-by-step explanation:

$= 2 \sqrt{2} {x}^{2} + 9x + 5 \sqrt{2} \\ = 2 \sqrt{2} {x}^{2} + (5 + 4)x + 5 \sqrt{2} \\ = 2 \sqrt{2} {x}^{2} + 5x + 4x + 5 \sqrt{2} \\ = x(2\sqrt{2} x + 5) + \sqrt{2} (2 \sqrt{2} x + 5) \\ = (x + \sqrt{2} )(2 \sqrt{2} x + 5)$