Prove that (x +1+i) (x +1-i) (x - 1+i) (x - 1 - i) = x⁴ + 4
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Step-by-step explanation:
(x+1+i)(x+1-i) (x-1+i)(x-1-i)
[(x+1)^2+1] [(x-1)^2+1]
(x2 + 1 + 2x + 1) (x2 + 1 -2x + 1)
(x2 + 2 + 2x) (x2 + 2 - 2x)
[(x2+2)^2 - 4x^2]
x^4 + 4 + 4x^2 - 4x^2
x^4 + 4
hence proved
mpreet196:
okkk
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solve this again in easy way plzz
use (a+b)(a-b) identity
this is the simplest you can do it in more simpler form
then solve it
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