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Bài 1:
G/s ngược lại: \(ad=bc\) , ta cần CM giả thiết.
Ta có: \(ad=bc\) => \(\frac{a}{b}=\frac{c}{d}=k\Rightarrow\hept{\begin{cases}a=bk\\c=dk\end{cases}}\) \(\left(k\inℤ\right)\)
Thay vào:
\(\left(a+b+c+d\right)\left(a-b-c+d\right)\)
\(=\left(bk+b+dk+d\right)\left(bk-b-dk+d\right)\)
\(=\left(k+1\right)\left(b+d\right)\left(k-1\right)\left(b-d\right)\) (1)
\(\left(a-b+c-d\right)\left(a+b-c-d\right)\)
\(=\left(bk-b+dk-d\right)\left(bk+b-dk-d\right)\)
\(=\left(k-1\right)\left(b+d\right)\left(k+1\right)\left(b-d\right)\) (2)
Từ (1) và (2) => GT được CM => đpcm
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c, ta có: \(2^{4n+2}\)+1\(⋮\)5
=> (...6).(\(2^2\))+1\(⋮\)5
=>(...6).4+1\(⋮\)5
=>(...24)+1\(⋮\)5
=>(...25)\(⋮\)5 =>(đpcm)
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XV. Reorder the words to make meaningful sentences
. 1. V cheat/ never/ will/ the/ promisel exam/ that1/ in anymore.=>V promise that will never cheat the exam anymore (câu này bạn chép vào hình như không đủ câu hoặc thiếu chéo)
2. swim/ she/ after/ able/ will/ be/ to/ praces/ hard two/ i0 shel weeks.=> She will be able to praces swim hard in two week
3. we/ if our/ planta environment/ bel greener/ more/ trees will=>If we plant more trees,our environment will be more greener
. 4. fly/ I/ my/ buy/ a ket/ to / could/ to New York/ holiday for.=> I could buy a ket fly to New York for my holiday
5. take/ this/ probably/ he/ environment/ will part/ in/ campaign.=> He probaly will take part in this environment campaign
. XVI. Rewrite the sentences based on the given words helow
. 1.1 was able to ride a bicycle when I was 7 years old(Câu này không có từ cho ?)
.I I couldn't visit Glasgow because I didn't have enough time.I.. (able) => I can't be able visited Glasgow because have enough time
3. I want to have a private tutor. I will learn better. IfI have =>If I have a private tutor,I will learn better
4. Some robots in the future will have the ability to do all the housework. Some robots . (able) => Some robots will be able have the ability to do all the house work
5. Maybe he will paripate in this recycling campaign. -> He will... (probably
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