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展開して5でくくる
(5n+4)²=25n²+40n+16=5(5n²+8n+3)+1

5n²+8n+3は整数なので
5(5n²+8n+3)+1→5の倍数+1 ということ
よって余りは1とわかる

かか

ありがとうございました!

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