\(A=\left(4x-1\right)\left(3x+1\right)-5x\left(x-3\right)-\left(x-4\right)\left(x-3\right)\)

\(=\left(4x-1\right)\left(3x+1\right)-\left(5x+x-4\right)\left(x-3\right)\)

\(=12x^2+4x-3x-1-6x^2+4x+18x-12\)

\(=18x^2+19x-13\)

với giải thích hộ mik số trên có chia hết cho 13 ko và có là số chính phương không ạ

Đặt biểu thức trên là A , ta có :

\(A=1+3+3^2+3^3+...+3^{98}\)

\(\Rightarrow3A=3+3^2+3^3+3^4+...+3^{99}\)

\(\Leftrightarrow3A-A=\left(3+3^2+3^3+3^4+...+3^{99}\right)-\left(1+3+3^2+3^3+...+3^{98}\right)\)

\(\Leftrightarrow2A=3^{99}-1\)

\(\Leftrightarrow A=\frac{3^{99}-1}{2}\)

Câu 10 của em đây nhé:

\(\dfrac{17}{2}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{1}{2}\) + \(\dfrac{3}{5}\)

= \(\dfrac{17}{2}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{1}{2}\) + \(\dfrac{3}{5}\) \(\times\) 1

= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{17}{2}\) + \(\dfrac{1}{2}\) + 1)

= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{18}{2}\) + 1)

= \(\dfrac{3}{5}\) \(\times\) ( 9 + 1)

= \(\dfrac{3}{5}\) \(\times\) 10

= 6

Mn giải chi tiết giúp mik với

Từ bài toán, ta có:

\(\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{c}{5}\) và \(a+b+c=24\)

Áp dụng tính chất dãy tỉ số bằng nhau, ta có:

\(\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{c}{5}=\dfrac{a+b+c}{3+4+5}=\dfrac{24}{12}=2\)

Suy ra:

\(a=2\cdot3=6\)

\(b=2\cdot4=8\)

\(c=3\cdot5=15\)

Phần a b c = 24 là ''+'' hay ''-'' hả bạn?

\(\left(x-3\right)\cdot\left(y-5\right)=3\)

=>\(\left(x-3\right)\cdot\left(y-5\right)=1\cdot3=3\cdot1=\left(-1\right)\cdot\left(-3\right)=\left(-3\right)\cdot\left(-1\right)\)

=>\(\left(x-3;y-5\right)\in\left\{\left(1;3\right);\left(3;1\right);\left(-1;-3\right);\left(-3;-1\right)\right\}\)

=>\(\left(x,y\right)\in\left\{\left(4;8\right);\left(6;6\right);\left(2;2\right);\left(0;4\right)\right\}\)

1c

2b

3c

4d

5a

1c
2b
3c
4d
5d
(Sai gì thì sửa hộ mình nhé )

1 C

2 C

3 A

4 D

1 If Sue doesn't hurry, she will miss the bus

2 Rita will pass the exam if she studies hard

3 If he watches too much television, he will hurt his eyes

4 If it isn't sunny tomorrow, we won't go to the beach

Bài 2

1 If you don't work hard, you won't pass the exam

2 If Henry fails his examination, his parents will be sad

3 If Sue goes you this weekend, she won't have time to study

4 If it snow tomorrow, I will go skiing

5 If he doesn't leave soon, he will miss the bus

6 If you play with marbles, you will hurt yourself

7 If the film isn't boring, we won't go to bed early