\(1+cota+cot^2a+cot^3a\)

\(=1+\dfrac{cosa}{sina}+\dfrac{cos^2a}{sin^2a}+\dfrac{cos^3a}{sin^3a}\)

\(=\left(1+\dfrac{cosa}{sina}\right)\left(1+\dfrac{cos^2a}{sin^2a}\right)\)

\(=\dfrac{sina+cosa}{sina}.\dfrac{sin^2a+cos^2a}{sin^2a}\)

\(=\dfrac{cosa+sina}{sin^3a}\)

29. B
30. D
31. C
32. D

45 If there were eggs in the fried, I'd make a cake for you

46 She's as beautiful as her friend

47 If your test score is high, your father will give you a reward

48 My son is taller than may daughter

49 If Nam had a camera, he'd take some pictures of his trip

50 Phong doens't have enough money, so he can't travel

câu 38 bạn bít làm hông á

e) Ta có: \(x^3-4x-14x\left(x-2\right)=0\)

\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)-14x\left(x-2\right)=0\)

\(\Leftrightarrow x\left(x-2\right)\left(x+2-14\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=12\end{matrix}\right.\)

e)x³-4x+14x(x-2)=0

⇔ x(x²-4)+14x(x-2)=0

⇔ x(x-2)(x+2)+14x(x-2)=0

⇔ (x-2)(x²+2x+14x)=0

⇔ x(x-2)(x+16)=0

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-2=0\\x+16=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=2\\x=-16\end{matrix}\right.\)

g)x²(x+1)-x(x+1)+x(x-1)=0

⇔ (x+1)(x²-x)+x(x-1)=0

⇔ x(x+1)(x-1)+x(x-1)=0

⇔ x(x-1)(x+2)=0

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-1=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=1\\x=-2\end{matrix}\right.\)

15x(197+3)=15x200=3000

   15 x 3 + 15 x 197 

= 15 x ( 3 + 197 ) 

= 15 x 200

=   3000

=2 nha

HT

1+1=2

- Câu này quá dễ.

a) 

m dd = m NaCl + m H2O = 50 + 150 = 200(gam)

C% NaCl = 50/200  .100% = 25%

b)

V dd = 2 + 2 = 4(lít)

n đường = 2.1,5  + 2.2,5 = 8(mol)

=> CM đường = 4/8 = 0,5M

c)

C% = 30/(30 + 90)  .100% = 25%

d)

V đường = 4 + 6 = 10(lít)

n đường = 4.0,5 + 6.1 = 8(mol)

=> CM đường  = 8/10 = 0,8M

Các câu còn lại t.tự nhé

Ta có: x - 2/4 = 5 + x/3

x = (5 + x/3) + 2/4

x= x 

x là: 5 - 3 = 2 ; 4 - 2 = 2

Vậy x là 2.

  Không chắc đâu nha!

x - 2/4 = 5 + x/3

=> x - 2/4 = 5 + x.1/3

=> x - x.1/3 = 5 + 2/4

=> x.(1-1/3) = 11/2

=> 2/3.x = 11/2

=> x= 11/2 : 2/3 

=> x = 33/4