Question

factorise x 4 - 3 x square + 2​

Answer 1

Answer:

$\bold{( {x}^{2} - 1)(x - \sqrt{2} )(x + \sqrt{2} )}$

Step-by-step explanation:

$\bold{ {x}^{4} - 3 {x}^{2} + 2} \\ let \: {x}^{2} = y ............(1)\\ then \\ {y}^{2} - 3y + 2 \\ {y}^{2} - 2y- y + 2 \\ y(y - 2) - 1(y - 2) \\ (y - 2)(y - 2) \\ teke \: value \: \: x... \\ ( {x}^{2} - 2)( {x}^{2} - 1) \\ (x - \sqrt{2)} (x + \sqrt{2)} (x - 1 )(x + 1 ) \: ans$

Answer 2

Step-by-step explanation:

You might find it easier if you replace the x2 with y

then you have y2+3y+2

You need two numbers that multiply to 2 and add to 3. they'll be 2 and 1

(y+2)(y+1) but y=x2

(x2+2)(x2+1)