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\(A=1^5+2^5+3^5+......+100^5\)
Ta luôn có \(a^n+b^n=\left(a+b\right)\left(.....\right)\) \(\text{∀}\) \(n\) ∈ \(N\) , \(n:\) \(lẻ\)
\(A=\left(1^5+99^5\right)+\left(2^5+98^5\right)+.....+\left(49^5+51^5\right)+100^5+50^5\)
\(A=\left(99+1\right)\left(...\right)+\left(2+98\right)\left(....\right)+....+\left(49+51\right)\left(....\right)+100^5+50^5\)
\(A=100\left(...\right)+\left(40+10\right)^5\)
\(Đặt\) \(P=\left(40+10\right)^5=40^5+10^5+5.40^4.10+10.40^3.10^2+10.40^2.10^3+5.40.10^4+10^5\)
Dễ thấy \(P\) ⋮ 4 \(=>A\) ⋮ 4 \(=>\) đpcm
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I don't finish their homework. That makes my teacher very angry
=> I didn't finish their homework which makes my teacher very angry.
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In Viet Nam, there (are) a lot of (tradition festivals) (which) are(celebrated) in spring.
=> TRADITIONAL FESTIVALS
* Vì ở đây festivals là danh từ thì phí trước nó cần phải có một tính từ để bổ sung nghĩa cho danh từ nên sửa lại thành traditional.
Study well ~
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The boy was happy because of receiving the prize
The boy received the prize, so he was happy.
(lần tới bạn nêu rõ yêu cầu viết lại câu với gì nhé)
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