Rút gọn phân thức:

\(a,\dfrac{x^3-y^3+z^3+3xyz}{\left(x+y\right)^2+\left(y+z\right)^2+\left(z-x\right)^2}\)

\(b,\dfrac{\left(x^2-y\right)\left(y+1\right)+x^2y^2-1}{\left(x^2+y\right)\left(y+1\right)+x^2y^2+1}\)

Rút gọn phân thức:

\(a,\dfrac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)

\(b,\dfrac{x^3+x^2-4x-4}{x^3+8x^2+17x+10}\)

Rút gọn phân thức:

\(a,\dfrac{\left(a+b\right)^2-c^2}{a+b+c}\)

\(b,\dfrac{a^2+b^2-c^2+2ab}{a^2-b^2+c^2+2ac}\)

Cho biểu thức: \(A=\dfrac{mn^2+n^2\left(n^2-m\right)+1}{m^2n^4+2n^4+m^2+2}\)

a, Rút gọn biểu thức A.

b, CMR biểu thức A luôn dương.

c, Với giá trị nào của m thì A đạt giá trị lớn nhất

Tính:

\(\left(a+b+c\right)^3-4\left(a^3+b^3+c^3\right)-12abc\)

Tính:

\(a,\left(x^2+x+1\right)\left(x^2+x+2\right)-12\)

\(b,\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24\)

1.She hasn't finished the letter........................
a.already b.just c.yet d.never
2. Lan is studying hard.......................pass the final exam.
a.for b.in order to c.so to d.as to
3.It's too cold outside. Would you mind.......................the window?
a.to close b.close c.closed d.closing
4.Would you like to the movies tonight?
So
y, I can't . I.......................my homework this evening.
a.am doing b.do c.will do d.doing
5. The teacher.................to the principal is in charge of my class.
a. talks b. is talking c. talking d. to talking
6. The bike.......................in Japan is $ 100.(making, made,is making, to make)

a.making b.made c.is making d.to make
7.We....................... dinner when the phone rang.
a.are having b.had c.have had d.were having
8. Color television ..... by John Logie Bard in 1982.
a.invented b.was invent c.was invented d.has invented
9. He said that he.......................for a car company.
a.worked b.works c.is working d.has worked
10. " Do you know where.......................?" – "No, he didn't say"
a.Tom has gone b.has Tom gone c. did Tom go d.Tom went

11 ……… another cup of tea ,Janet?
a. Will you like b. did you like c. would you like d. You would like
12. The woman ……… a new shirt is Mrs Lan.
a. made b. making c. to make d. to mading

VII . Rewriote the following sentences , using the word at the end of the setences
1. The ceiling is so high . I can not reach it ( too)
2. I am reading anEnglish novel . It was translated in to Viet namese ( Translated)
3. She di not want to hear the story again. She had heard it before ( Having heard)
4. The weather was lovely . We spent the whole day out ( such…………that)
5. has the council postponed the meeting? ( been)
6. Mr Green drank so much wine. He got sick. ( so ………..that)
7. The girl is my sister. She is singing on the stage ( singing)
8. She is very glad. She become the member of the group: “ Friends of the earth” ( to)
9. She wants to make her body strong. She should eat a lot of green vegetables ( in order to)
10. This pill is too pig. The boy can not swallow it ( enough)

VI.Rewrite the folloing sentences…………….
1. We wiil have to check the petrol before we start
 The petrol…………………………………………………………….
2. They have not seen each other since Mary’s wedding
 The last time…………………………………………………………………
3. Do not read in bad light . Your eyes will be ruined
 If…………………………………………………………………………….
4. She spent 30 minutes to cook that dish
 It took……………………………………………………………………..
5. Please do not inte
upt me while I am speaking
I’d rather………………………………………………………………………..
6. Tis is the best computer I have ever used
 I have never………………………………………………………………..
7. Nobdy has used this room for ages
 This room………………………………………………………………………
8. The water was so cold that the children could not swim in it
 The water was not……………………………………………….
9. Rose can not grow in such poor ground
It is impossible………………………………………………………………………………
10. “ I am going for a few days . I will phone you when I get back “ Susan said to me
 Susan told…………………………………………………………………………………….