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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
The restaurant on that street which my father used to work serves excellent food.
Mr and Mrs. Lam whose daughter is a pop star live next door to us
If you don't finish the homework, the teacher will punish you
1)Give the correct tense of the verbs in brackets:
My brother(visit)..has visited........ me before he (go).....went........ to Ho Chi Minh City.
2)Change into passive voice.
Has somebody informed Lan of the change?->....Has Lan been informed of the change....................
3) Make questions for the underline words or phrases.
1.I'm taking French this semester.->..What are you taking this semester?....................
2.She's staying there for two weeks.->......How long is she staying there?.................
3.She is worried about the next examination.->....What is she worried about?...................
4)Rewrite the sentences with the same meaning.
1) Peter wishes he had attened Mary's party.(regret+ V-ing).->...Peter regretted .not to attending Mary's party..............................
2)We had dinner, and then we went to the concert.(After).->....After having dinner, we went to the concert............................
3)People who have lots of money have a comfortable life.(the+ adjective).->..The rich have a comfortable life.......................
4)She likes English best.(Make question).->....What subjects does she like best?.........................
5)They spent two years building the house.(took).->..It took them two years to build the house.......................
6)He wants to learn a foreign language. He's interested in it.(learning).->..He's interested in learning a foreign language................
7)They didn't finish their work. That makes my teacher angry.(using which).->.They didn't finish their work, which makes my teacher angry..........................
8)They no longer play tennis.(using used to).->....They used to play tennis.........................
9)It took him $500 to buy that mobile phone.(Make question).->..How much did he buy that mobile phone?........................
10)Watching that film is interesting(to+ V-infinitive).->...It is interesting to watch that film ..........................
mình đính lại chỗ câu regret là
"Peter regretted not attending Mary's party" bỏ "to" đi nhé. Hhi ^.^
1)Give the correct tense of the verbs in brackets:
My brother(visit).....HAD VISITED..... me before he (go).....WENT........ to Ho Chi Minh City.
2)Change into passive voice.
Has somebody informed Lan of the change?->............HAS LAN BEEN INFORMED OF THE CHANGE?............
3) Make questions for the underline words or phrases.
1.I'm taking French this semester.->.........WHAT ARE YOU TAKING THIS SEMESTER?.............
2.She's staying there for two weeks.->..........HOW LONG IS SHE STAYING THERE?.............
3.She is worried about the next examination.->.............WHAT IS SHE WORRIED ABOUT?..........
4)Rewrite the sentences with the same meaning.
1) Peter wishes he had attened Mary's party.(regret+ V-ing).->...........PETER REGRETED NOT ATTENDING MARY'S PARTY.......................
2)We had dinner, and then we went to the concert.(After).->........AFTER HAVING DINNER,WE WENT TO THE CONCERT........................
3)People who have lots of money have a comfortable life.(the+ adjective).->......THE MORE MONEY PEOPLE HAVE ,THE MORE COMFORTABLE LIFE THEY HAVE..................
4)She likes English best.(Make question).->......WHICH SUBJECT DOES SHE LIKE BEST?.......................
5)They spent two years building the house.(took).->........IT TOOK THEM TWO YEARS TO BUILD THE HOUSE.................
6)He wants to learn a foreign language. He's interested in it.(learning).->......HE IS INTERESTED IN LEARNING A FOREIGN LANGUAGE............
7)They didn't finish their work. That makes my teacher angry.(using which).->....THEY DIDN'T FINISH THEIR WORK WHICH MAKE MY TEACHER ANGRY.......................
8)They no longer play tennis.(using used to).->...THEY USED TO PLAY TENNIS..........................
9)It took him $500 to buy that mobile phone.(Make question).->.............HOW MUCH DID IT TAKE HIM TO BUY THAT MOBILE PHONE?...............
10)Watching that film is interesting(to+ V-infinitive).->..........IT'S INTERESTING TO WATCH THAT FILM...................
Exercise 9: Combine these sentences using one of these words: Who, Whom. That, Which, Whose
1. Stop him. He's the man. He stole my wallet. (Who)
=> Stop him. He's the man who stole my wallet.
2. Mr. David comes from England. He has never been to Vietnam. ( who)
=> Mr. David, who comes from England, has never been to Vietnam.
3.I'm staying with the boy. His brother looks very handsome. ( whose)
=> I'm staying with the boy whose brother looks very handsome.
4.We talked about the books and writers. That made us bored. ( which)
=> We talked about the books and writers, which made us bored.
5.Henry is also a member of the board. You'll meet him tomorrow, (who)
=> Henry, whom you'll meet tomorrow, is also a member of the board.
6. Can you answer the questions. I ask you those questions? (which)
=> Can you answer the questions which I ask you?
7. The lady is a teacher at our school. Her son went on a picnic with us last weekend. (whose)
=> The lady whose son went on a picnic with us last weekend is a teacher at our school.
8. He is the only friend. I like him. (whom)
=> He is the only friend whom I like.
9. He can't swim. That makes me surprised. (which)
=> He can't swim, which makes me surprised.
10. We are visiting Ha Long. It is in the north of Viet Nam. ( which)
=> We are visiting Ha Long which is in the north of Viet Nam.
11. They have invented a television set. It is small as a watch. ( which)
=> They have invented a television set which is small as a watch.
12. We visited children. Their parents are dead in that flood. (whose)
=> We visited children whose parents are dead in that flood.
13. I'm talking about Tom. He is really friendly. ( who)
=> 'm talking about Tom who is really friendly.
14. The student did this exercise. He might be very intelligent. (who)
=> The student who did this exercise might be very intelligent.
15. Peter couldn't come to the party last night. That was really a pity. (which)
=> Peter couldn't come to the party last night, which was really a pity.
I don't finish their homework. That makes my teacher very angry
=> I didn't finish their homework which makes my teacher very angry.
I didn't tớ bấm nhầm