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Элла2003
@Элла2003
April 2021
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упростите (2n+1)²+(2n²+2n)²-(2n²+2n+1)²
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svetazuna
Упрощаем по формулам:
(a+b)² = a² + b²+ 2ab и (a+b+c)²= a²+b²+c²+2ab+2bc+2ca:
(2n+1)²+(2n²+2n)²-(2n²+2n+1)² =
= 4n
²+4n+1 + 4n^4+8n³+4n² - 4n^4-4n²-1-8n³-4n-4n² = 0
2 votes
Thanks 6
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Answers & Comments
(a+b)² = a² + b²+ 2ab и (a+b+c)²= a²+b²+c²+2ab+2bc+2ca:(2n+1)²+(2n²+2n)²-(2n²+2n+1)² =
= 4n²+4n+1 + 4n^4+8n³+4n² - 4n^4-4n²-1-8n³-4n-4n² = 0