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August 2022
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разложите на множители a(a+2)+b(b+2)-2(a+1)(b+1)+1
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sedinalana
Verified answer
a(a+2)+b(b+2)-2(a+1)(b+1)+1=a
²+2a+b²+2b-2ab-2a-2b-2+1=
=(a²-2ab+b²)-1=(a-b)-1=(a-b-1)(a-b+1)
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Verified answer
a(a+2)+b(b+2)-2(a+1)(b+1)+1=a²+2a+b²+2b-2ab-2a-2b-2+1==(a²-2ab+b²)-1=(a-b)-1=(a-b-1)(a-b+1)