(1+√2i)²-2(1+√2i)=

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(1+√2i)²-2(1+√2i)=(1+√2i)²-2(1+√2i)=(1+√2i)²-2(1+√2i)=(1+√2i)²-2(1+√2i)=1-2+2√2i

(1+√2i)²-2(1+√2i)=
(1+√2i)²-2(1+√2i)=

(1+√2i)²-2(1+√2i)=
(1+√2i)²-2(1+√2i)
=1-2+2√2i-2-2√2i
=1-4
=-3;

原式=(1+√2i)(1+√2i-2)
=(√2i+1)(√2i-1)
=(√2i)²-1
=-2-1
=-3

(1+√2i)²-2(1+√2i)
=(1+√2i)((1+√2i)-2)
=(1+√2i)(-1+√2i)
=(-1)²-(√2i)²
=1+2
=3