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Janeboolitle
@Janeboolitle
August 2021
1
24
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ПОМОГИТЕ ПОЖАЛУЙСТА!!! УМОЛЯЮ!!!
РАЗЛОЖИТЕ НА МНОЖИТЕЛИ:
1)х^2у^2-2ху^2+у^2+х^4-2х^2+1
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Verified answer
Х^2у^2-2ху^2+у^2+х^4-2х^2+1=(
х^2у^2-2ху^2+у^2)+(х^4-2х^2+1)=
=
у^2(х^2-2х+1)+(х^2-1)^2=(у^2)(х-1)^2+[(х-1)(х+1)]^2=
=[(х-1)^2][(у^2)+(х+1)
^2]
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Answers & Comments
Verified answer
Х^2у^2-2ху^2+у^2+х^4-2х^2+1=(х^2у^2-2ху^2+у^2)+(х^4-2х^2+1)==у^2(х^2-2х+1)+(х^2-1)^2=(у^2)(х-1)^2+[(х-1)(х+1)]^2=
=[(х-1)^2][(у^2)+(х+1)^2]