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Marina179215
@Marina179215
August 2022
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Решите, пожалуйста
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IrkaShevko
Verified answer
A² - b² = (a-b)(a+b)
(2016 - 2014)(2016 + 2014) + (2012 - 2010)(2012 + 2010) + ... + (2000 - 1998)(2000 + 1998) =
= 2*4030 + 2*4022 + 2*4014 + 2*4006 + 2*3998 =
= 2*(3998+4030)*5/2 = 8028*5 = 40140
Ответ: Д) 40140
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Answers & Comments
Verified answer
A² - b² = (a-b)(a+b)(2016 - 2014)(2016 + 2014) + (2012 - 2010)(2012 + 2010) + ... + (2000 - 1998)(2000 + 1998) =
= 2*4030 + 2*4022 + 2*4014 + 2*4006 + 2*3998 =
= 2*(3998+4030)*5/2 = 8028*5 = 40140
Ответ: Д) 40140