Cho tam giác ABC , phân giác AD.Trên tia đối của tia CA lấy E sao cho CE = CA . ED cắt AB tại M

a, Tính tỉ số \(\dfrac{BD}{CD}\)

b, Tính tỉ số \(\dfrac{AM}{AE}\)

phân tích đa thức thành nhân tử :

1, 5x - 4 + 7x( 4 - 5x ) = 0

2, 5( x + 3 )\(^2\) = 3 + x

 3,3x( x - 1 ) + 1 - x = 0

4, x^2 + y^2 - 2xy

5, 18x\(^3\)y\(^4\) - 81x\(^6\) - y\(^8\)

6, 8x\(^3\) + 27y\(^3\)

7, \(\dfrac{1}{25}\)x\(^2\) - 2x + 25

8, 16( x + 2 )\(^2\) - ( y - 2 )\(^2\)

9, 16x\(^2\)y\(^2\) - 0,25z\(^2\)

10, ( x - 4 )\(^2\) - 36 = 0

11, ( x + 7 )\(^2\) = 80

12, 4x\(^2\) + 9 = 12x

13, ( 7x - 3 )\(^2\) - ( 5 + 4x )\(^2\) = 0

Tìm x , biết :

d, 4x\(^2\) + 9 = 12x

Phân tích thành nhân tử :

e, 8x\(^3\)y\(^3\) + \(\dfrac{1}{27}\)

f, 125y\(^3\) - x\(^6\)

Bài 14 : Phân tích đa thức sau thành nhân tử :

f, ( x\(^2\) - 3 )\(^2\) + 4.( x\(^2\) - 3 )y + 4y\(^2\)

g, 49.( y - 4 )\(^2\) - 9.( x + 2 )\(^2\)

z, 39xyz\(^2\) - 26x\(^2\)yz + 13xy\(^2\)z

h, 5x\(^2\).( x + 2y ) - 15x.( 2y + x )

Bài 10 : Tìm x, biết :

a, 5 ( x + 3 ) - 2x ( 3 + x ) = 0

b, 2x\(^2\) - 6x = 0

c, ( x - 1 )\(^2\) = x - 1

d, 4x( x - 2020 ) - x + 2020 = 0

e, 8( 2x - 1 ) + x( 1 - 2x ) = 0

f, 6(x + 3)\(^2\) = 3 + x 

Bài 11 : Tìm x , biết :

a, x\(^2\) - x = 0

b, 3x - x\(^2\) = 0

c, x\(^3\) + x = 0

d, 4x + 4x\(^3\) = 0

Exercise 6: Fill in the blanks with correct form of the verbs. 

1. My sister enjoys ________________(read) magazines, but my brother likes __________(read) comics. 

2. He ____________(hate)____________ (get up) early on Sundays. 

3. My father prefers ___________(watch) football match at the stadium to (watch)__________ on TV. 

4. They _____________ (not like) ___________(listen) to loud music like rock. 

5. Would you like _____________(go) fishing with me this afternoon? 

6. My mother _____________ (not enjoy) ___________(eat) out, she always cooks meal at home for my family. 

7. When I was a student, I ___________ (not like) doing homework.

8. ___________ you enjoy_____________(play) with toys when you were a child?