1.
x^4-4y^4
=(x^2+2y^2)(x^2-2y^2)
=(x+根号2y i)(x-根号2 yi)(x+根号2 y)(x-根号2 y)
2.
-1/2x^2+x-3
=-1/2(x^2-2x+6)
=-1/2[(x-1)^2+5]
=-1/2(x-1+根号5 i)(x-1-根号5 i)
x^4-4y^4
=(x^2+2y^2)(x^2-2y^2)
=(x+√2yi)(x-√2yi)(x+√2y)(x-√2y)
(-1/2)x^2+x-3
=(-1/2)(x^2-2x+6)
=(-1/2)[(x-1)^2+5]
=(-1/2)(x-1+√5i)(x-1-√5i)
1、原式=(x²)²-(2y²)²
=(x²+2y²)(x²-2y²)
=(x+2^½yi)(x-2^½yi)(x+2^½y)(x-2^½y)
2、原式=-½(x²-2x+6)
=-½(x+1+5^½i)(x+1-5^½i)
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