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lolo39
@lolo39
July 2022
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Упростите выражение (a-2b)(a^2+2ab+4b^2)-a(a-b)(a+b) и найдите его значение при а=8 и b=1/2
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andrisd
Verified answer
(a-2b)(a²+2ab+4b²)-a(a-b)(a+b)=
=a³+2a²b+4ab²-2a²b-4ab²-8b³-a(a²+ab-ab-b²)=
=a³-8b³-a³+ab²=-8b³+ab²
при a=8, b=1/2
-8*(1/2)³+8*(1/2)²=-1+2=1
6 votes
Thanks 6
andrisd
Нет, ошибка, извини. Сейчас переделаю.
andrisd
Исправил.
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Answers & Comments
Verified answer
(a-2b)(a²+2ab+4b²)-a(a-b)(a+b)==a³+2a²b+4ab²-2a²b-4ab²-8b³-a(a²+ab-ab-b²)=
=a³-8b³-a³+ab²=-8b³+ab²
при a=8, b=1/2
-8*(1/2)³+8*(1/2)²=-1+2=1