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a. \(\dfrac{\left(x^2+2x\right)}{\left(x+2\right)^2}=\dfrac{x\left(x+2\right)}{\left(x+2\right)\left(x+2\right)}=\dfrac{x}{x+2}\)
b. \(\dfrac{x^2-7x+12}{x^2-6x+9}=\dfrac{x^2-3x-4x+12}{\left(x-3\right)^2}\)
\(=\)\(\dfrac{x\left(x-3\right)-4\left(x-3\right)}{\left(x-3\right)\left(x-3\right)}=\dfrac{\left(x-4\right)\left(x-3\right)}{\left(x-3\right)\left(x-3\right)}=\dfrac{x-4}{x-3}\)
c. \(\dfrac{x^2-5x+6}{x^2-x-2}=\dfrac{x^2-2x-3x+6}{x^2-2x+x-2}\)
\(=\dfrac{x\left(x-2\right)-3\left(x-2\right)}{x\left(x-2\right)+\left(x-2\right)}=\dfrac{\left(x-3\right)\left(x-2\right)}{\left(x+1\right)\left(x-2\right)}=\dfrac{x-3}{x+1}\)
d. \(\dfrac{\left(x+y\right)^2-z^2}{2\left(x+y+z\right)}=\dfrac{\left(x+y-z\right)\left(x+y+z\right)}{2\left(x+y+z\right)}=\dfrac{x+y-z}{2}\)
I) ĐIỀN CÁC TỪ SAU: deteriorate, mobilize, hostile acts, declare war, clashes, aggression, outbreak, forces, ultimatum, retaliate
FOR YEARS THERE WERE BORDER .... clashes...... BETWEEN TROOPS OF COUNTRY X AND THOSE OF COUNTRY Z. THEN .....forces....... FROM X ATTACKED A VILLAGE IN Z. Z ACCUSED X OF .....aggression.... AND BEGAN TO ...mobilize....... IN READINESS FOR POSSIBLE WAR. X WARNED Z: "IF YOU CARRY OUT ....hostile acts....... AGAINST US, WE WILL ...retaliate........ ." BUT THERE WAS MORE FIGHTING ON THE BORDER. THE SITUATION HAD BEGUND TO ......deteriorate.......... . X DELIVERED AN.......ultimatum......... TO Z. "IF YOU DO NOT PROMISE TO RESPECT OUR BORDERS, WE WILL ....declare war....... ." FINALLY CAME THE ..outbreak........ OF WAR.
II) ĐIỀN CÁC TỪ SAU: get involved, withdraw, intermediary, peace treaty, neutral, targets, peace-keeping force, intervene, ceasefire, civilian
AFTER MONTHS OF FIGHTING, DURING WHICH .......civilian..... AS WELL AS MILITARY ....targets...... WERE BOMBED, COUNTRY X ASKED COUNTRY Y, WHICH HAD REMAINED ...neutral...... DURING THE HOSTILITIES, TO ACT AS AN .....intermediary....... , BUT Y DECIDED NOT TO .........get involved..... . X THEN ASKED THE UNITED NATIONS TO ..... intervene........ . THE UNITED NATIONS MANAGED TO ARRANGE A ....ceasefire........ AND STATIONED A MULTI-NATIONAL ......... peace-keeping force...... BETWEEN THE TWO OPPOSING ARMIES. AFTER WEEKS OF TALKS, THE TWO COUNTRIES FINALLY SIGNED A .....peace treaty...... AND THE UNITED NATIONS TROOPS WERE ABLE TO ..withdraw........... .
\(4x^2-6x-16⋮x-3\)
\(\Leftrightarrow4x^2-12x+6x-18+2⋮x-3\)
\(\Leftrightarrow4x\left(x-3\right)+6\left(x-3\right)+2⋮x-3\)
\(\Leftrightarrow\left(x-3\right)\left(4x+6\right)+2⋮x-3\)
Mà \(\left(x-3\right)\left(4x+6\right)⋮x-3\)
\(\Rightarrow2⋮x-3\)
\(\Rightarrow x-3\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
làm nốt
cách 2:
Để \(4x^2-6x-16\)chia hết cho x-3
\(\Leftrightarrow2⋮x-3\)
\(\Leftrightarrow x-3\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
Làm nốt
Tìm lỗi sai ở mỗi câu dưới đây và sửa lỗi:
1) Chris said that the twins couldn’t go to school this=> that day because they were ill
2) Smoking is generally recognize as => recognized as one of the major cause of heart disease
3) She took the list of visitors’ names and arranges => arranged them into groups of four
4) He asked the tourist information officer suggesting => suggested where he could go
5) She threw the bag of potato chips to James and he catches => catched it with one hand
sai môn r á bn '-'