Question

Factorise the following x⁴-3x²+2​

Answer 1

Answer:

( x+ 1) (x-1) (x+√2) (x -√2)

Step-by-step explanation:

x⁴-3x²+2

by splitting the middle term,

x^4 - x^2- 2x^2 + 2

x^2 ( x^2 - 1 ) -2 (x^2 - 1 )

(x^2 - 1^2) (x^2 - √2 ^2)

Using Identity -

a^2 - b^2 = (a +b) (a-b)

( x+ 1) (x-1) (x+√2) (x -√2)

hope it helps