\(f,=\left(5^2+3\right):7=28:7=4\\ g,=7^2-9+8\cdot25=49-9+200=240\\ h,=600+72+18=690\\ i,=5^2+5-20=10\\ j,=45-28+83=100\)

\(2A=\frac{4}{1.5}+\frac{6}{5.11}+\frac{8}{11.19}+\frac{10}{19.29}+\frac{12}{29.41}\)

\(=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{11}+\frac{1}{11}-\frac{1}{19}+...+\frac{1}{29}-\frac{1}{41}=1-\frac{1}{41}=\frac{40}{41}\)

\(\Rightarrow A=\frac{20}{21}\)

\(3B=\frac{3}{1.4}+\frac{6}{4.10}+\frac{9}{10.19}+\frac{12}{19.31}=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{10}+\frac{1}{10}-\frac{1}{19}+\frac{1}{19}-\frac{1}{31}\)

\(=1-\frac{1}{31}=\frac{30}{31}\)

\(\Rightarrow B=\frac{10}{31}=\frac{20}{62}<\frac{20}{41}\)

Do đó $A>B$

Ta có: \(A=\dfrac{2}{1.5}+\dfrac{3}{5.11}+\dfrac{4}{11.19}+\dfrac{5}{19.29}+\dfrac{6}{29.41}\)

\(2A=1-\dfrac{1}{5}+\dfrac{1}{5}+...+\dfrac{1}{29}-\dfrac{1}{41}\)

\(2A=1-\dfrac{1}{41}=\dfrac{40}{41}\)

\(A=\dfrac{20}{41}\)

Lại có: \(B=\dfrac{1}{1.4}+\dfrac{2}{4.10}+\dfrac{3}{10.19}+\dfrac{4}{19.31}\)

\(3B=\dfrac{3}{1.4}+\dfrac{6}{4.10}+\dfrac{9}{10.19}+\dfrac{12}{19.31}\)

\(3B=1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{10}+...+\dfrac{1}{19}-\dfrac{1}{31}\)

\(3B=1-\dfrac{1}{31}=\dfrac{30}{31}\)

\(B=\dfrac{10}{31}\)

Vì \(\dfrac{20}{41}>\dfrac{10}{31}\) nên...

\(=11\cdot\dfrac{16}{55}\cdot\dfrac{15}{8}=\dfrac{11\cdot5}{55}\cdot\dfrac{16}{8}\cdot3=2\cdot3=6\)

đk : \(n\ne-\dfrac{1}{3}\)

gọi d là ƯCLN(18n+3,21n+7)

ta có 18n+3chia hết cho d

          21n+7 chia hết cho d

⇔21n+7-18n-3 chia hết cho d

⇔126n+42-126n-21 chia hết cho d 

21 chia hết cho d

⇒d∈Ư(21)=1;3;7;21

n ≠ 3k-1;3k-3;3k-7;3k-21

\(3n-2\inƯ\left(15\right)\) \(=\left\{1;-1;3;-3;5;-5;15;-15\right\}.\)

\(\Leftrightarrow n\in\left\{1;\dfrac{1}{3};\dfrac{5}{3};\dfrac{-1}{3};\dfrac{7}{3};-1;\dfrac{17}{3};\dfrac{-13}{3}\right\}.\)

Mà \(n\ne\dfrac{2}{3};n\in Z.\)

\(\Rightarrow n\in\left\{1;-1\right\}.\)

A: Oh! Look at that house, it's so beautiful.
B: Yes, It's C's house. It's bigger than my house and yours, too.
C: Hello guys, what are you talking about?
B: We are talking about your house. Uhm...Hey C, How many rooms are there in your house?
C: There are 10 rooms in my house and a big garden behind its.
A: Is it expensive?
C: Yeah, It's nearly 1,5 billions.
A: OMG, your house is more expensive than mine. My house only need about 1 billions to buy it!
B: Your house looks like very convinient.
C: You are right. Do you see our school? It takes me 5 mins to walk to school, so it's the reason why I never late for school.
A: Really? I have many things not as well as you.....
B: It's ok A. You can have it when you learn better than now

Có gì sai sót bạn cứ nói nhé, mình chỉ kịp nghĩ ra đúng đủ 12 câu thôi bạn ạ :)))))

A: Oh! Look at that house, it's so beautiful.
B: Yes, It's C's house. It's bigger than my house and yours, too.
C: Hello guys, what are you talking about?
B: We are talking about your house. Uhm...Hey C, How many rooms are there in your house?
C: There are 10 rooms in my house and a big garden behind its.
A: Is it expensive?
C: Yeah, It's nearly 1,5 billions.
A: OMG, your house is more expensive than mine. My house only need about 1 billions to buy it!
B: Your house looks like very convinient.
C: You are right. Do you see our school? It takes me 5 mins to walk to school, so it's the reason why I never late for school.
A: Really? I have many things not as well as you.....
B: It's ok A. You can have it when you learn better than now

a) điền <        b) điền =       c) điền <          d)điền =

\(M\) lớn nhất \(\Rightarrow\overline{ab}\) lớn nhất

\(M\) chia hết 36 \(\Rightarrow M\) chia hết cho 9

\(\Rightarrow2+0+2+3+a+b\) chia hết cho 9 \(\Rightarrow a+b+7\) chia hết cho 9

\(\Rightarrow a+b\) chia 9 dư 2 

\(\Rightarrow\overline{ab}=10a+b=9a+\left(a+b\right)\) cũng chia 9 dư 2 \(\Rightarrow\overline{ab}=9n+2\)

M chia hết 36 \(\Rightarrow M\) chia hết cho 4 \(\Rightarrow\overline{ab}\) chia hết cho 4 \(\Rightarrow\overline{ab}=4m\) với \(0\le m< 25\)

\(\Rightarrow9n+2=4m\Rightarrow9n+18=4m+16\)

\(\Rightarrow9\left(n+2\right)=4\left(m+4\right)\)

Do 4 và 9 nguyên tố cùng nhau \(\Rightarrow m+4\) chia hết cho 9 \(\Rightarrow m\) chia 9 dư 5

Số nguyên lớn nhất chia 9 dư 5 mà nhỏ hơn 25 là \(23\)

\(\Rightarrow m=23\Rightarrow\overline{ab}=4m=92\)

Vậy \(M=202392\)