Có tất cả bao nhiêu cặp số a;b là các số nguyên dương thỏa mãn : 

${\log }_3\left(a+b\right) + {(a+b)}^3= 3 (a^2+b^2) + 3ab(a+b-1) +1$

Cho hàm số f(x) có đạo hàm trên R và bảng biến thiên như bảng dưới:

Từ âm vô cùng đến 1 và từ 2 đến 3 đồng biến, từ 1 đến 2 và từ 3 đến dương vô cùng nghịch biến

Tổng các giá trị của tham số m để phương trình $2^{f\left(x\right)+\frac{4}{f\left(x\right)}}+{\log }_2( f{\left(x\right)}^2-4f(x)+5) =m có đúng 2 nghiệm pb$

Question 6: He was ___ when he was caught trying to catch a plane to France.
A. arrested B. put on probation C. executed D. acquitted
Question 7: Skilled_____ have produced perfect copies of many of the world’s famous paintings.
A. muggers B. smugglers C. rapists D. forgers
Question 8: The judge released him on ______ but he’ll have to appear in court again next week.
A. sentence B. bail C. punishment D. fine
Question 9: We made_____ the nearest port when we heard the storm warning.
A. out B. of C. up D. for
Question 10: The judge’s ruling_____ a wave of protest campaigns across the country.
A. instigated B. launched C. provoked D. commenced

Question 1: The puppy was_____ so much I nearly dropped him.
A. sniggering B. wriggling C. chuckling D. giggling
Question 2: We were_____ that the flight would be delayed for two hours.
A. invited B. ordered C. informed D. instructed
Question 3: He managed to _____  the branch of a tree and avoid being swept away by the flood waters.
A. clutch B. munch C. hug D. attach
Question 4: That man next to me on the bus must have been a _____ . My wallet has gone.
A. shoplifter B. kidnapper C. hijacker D. pickpocket
Question 5: The murder took place in the main street in the middle of the day, but there were no __ .
A. judges B. prosecutions C. witnesses D. juries