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13243545
@13243545
August 2022
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Разложите на множители (a-b)2(a+b)5+(a+b)2(a-b)5
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sedinalana
(a-b)²(a+b)²(a+b)³+(a+b)²(a-b)²(a-b)³=(a-b)²(a+b)²*[(a+b)³+(a-b)³]=
=(a-b)²(a+b)²(a³+3a²b+3ab²+b³+a³-3a²b+3ab²-b³)=(a-b)²(a+b)²(2a³+6ab²)=
=2a(a-b)²(a+b)²(a²+3b²)
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Answers & Comments
=(a-b)²(a+b)²(a³+3a²b+3ab²+b³+a³-3a²b+3ab²-b³)=(a-b)²(a+b)²(2a³+6ab²)=
=2a(a-b)²(a+b)²(a²+3b²)