mong mn giúp mik, mình cần gấp
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Bài 3:
b: \(10^6-5^7=5^6\left(2^6-5\right)=5^6\cdot59⋮59\)
=23 x (58-30) + 28 x 77
=23 x 28 +28 x 77
=28 x (23+77)
=28 x 100
=2800
học tốt bạn nhé
bài này là dạng nâng cao về toán tính nhanh, mik nghĩ là ẽ ít bạn trả lời đc
a. \(a\left(a-1\right)-\left(a+3\right)\left(a+2\right)=a^2-a-\left(a^2+5a+6\right)=-6a-6=6\left(-a-1\right)⋮6\)
b. \(a\left(a+2\right)-\left(a-5\right)\left(a-7\right)=a^2+2a-\left(a^2-12a+35\right)=14a-35=7\left(2a-5\right)⋮7\)
c. \(\left(n^2-3n+1\right)\left(n+2\right)-n^3+n^2+3=n^3-n^2-5n+2-n^3+n^2+3=-5n+5\)
\(=5\left(1-n\right)⋮5\)
a) \(a\left(a-1\right)-\left(a+3\right)\left(a+2\right)=a^2-a-a^2-5a-6=-6a-6=-6\left(a+1\right)⋮6,\forall a\in Z\)
b) \(a\left(a+2\right)-\left(a-5\right)\left(a-7\right)=a^2+2a-a^2+12a-35=14a-35=7\left(2a-5\right)⋮7,\forall a\in Z\)c) \(\left(n^2-3n+1\right)\left(n+2\right)-n^3+n^2+3=n^3-n^2-5n+2-n^3+n^2+3=-5n+5=-5\left(n-5\right)⋮5,\forall n\in Z\)
1 How long do you live in HN
2 How often did you go to the movies
3 What did Mrs Robinson buy
4 When was your father in Nghe An
5 How do they go to school
6 Why didn't she go to class
7 Who left home at 7o'clock yesterday
8 What subject does he study in the high school
9 What is your favorite hobby
10 How far is it
\(\dfrac{4^{13}}{4^{13}-2}=1+\dfrac{2}{4^{13}-2}\)
\(\dfrac{4^{13}-1}{4^{13}+1}=1-\dfrac{2}{4^{13}+1}\)
Do \(4^{13}-2< 4^{13}+1\Rightarrow\dfrac{2}{4^{13}-2}>\dfrac{2}{4^{13}+1}\Rightarrow\dfrac{2}{4^{13}-2}>-\dfrac{2}{4^{13}-1}\)
\(\Rightarrow\dfrac{4^{13}}{4^{13}-2}>\dfrac{4^{13}-1}{4^{13}+1}\)
Ta có:
\(\dfrac{4^{13}}{4^{13}-2}=\dfrac{4^{13}-2}{4^{13}-2}+\dfrac{2}{4^{13}-2}=1+\dfrac{2}{4^{13}-2}\)
\(\dfrac{4^{13}-1}{4^{13}+1}=\dfrac{4^{13}+1}{4^{13}+1}-\dfrac{2}{4^{13}+1}=1-\dfrac{2}{4^{13}+1}\)
Vì \(1+\dfrac{2}{4^{13}-2}>1-\dfrac{2}{4^{13}+1}\)
⇒\(\dfrac{4^{13}}{4^{13}-2}>\)\(\dfrac{4^{13}-1}{4^{13}+1}\)