1. Phân tích...nhóm hạng tử:

a) 5x - 5y + ax - ay

b) a³ - a²x - ay + xy

c) 10x² + 10xy + 5x + 5y

d) 5ay - 3bx + ax - 15by

e) x³ + x² - x - 1

f) 2bx - 3ay - 6by + ax

h) x + 2a ( x - y ) - y

1. Phân tích...nhân tử:

a) 2a ( x - y ) - ( y - x )

b) a² ( x - y ) - ( y - x )

c) x ( x - y ) + y ( y - x ) - 3 ( x - y )

d) 6x² - 3 + 7x ( 6x² - 3 ) + 4y ( 3 - 6x² )

2. Tìm x:

a) x² + 2x = 0

b) x ( x - 5 ) = 5 - x

c) ( x + 1 ) ( 6x² + 2x ) + ( x - 1 ) ( 6x² + 2x ) = 0

1. Tính nhanh:

a) 76² - 24²

b) 106² - 106 . 12 + 6²

2. Phân tích...nhân tử chung:

a) ( x² + 4 )² - 16x²

b) ( y - z ) (12x² - 6x ) + ( y - z ) ( 12x² + 6x )

c) a ( b - c ) + 2 ( b - c ) - e ( c - b )

d) ( a - b )² + ( b - a )²

1. Tìm x

a) x ( x - 6 ) + 10 ( x + 6 ) = 0

b) x³ - x = 0

c) ( x + 2 )² = x + 2

d) x³ + 4x = 0

e) 3x ( x - 10 ) = x - 10

g) x ( x + 7 ) = 4x + 28.

1. Tìm x:

a) x² - 3x = 0

b) 2x ( x - 2 ) - (x - 2 ) = 0

c) x + 5x² = 0

d) x + 1 = ( x + 1 )²

e) x³ + x = 0

f) 5 ( x + 3 ) - 2x ( 3 + x ) = 0

h) 6x ( x² - 2 ) - ( 2 - x² ) = 0

i) ( x + 1 )² - ( x + 1 ) ( x - 2 ) = 0

1. Tính:

a) ( x² - y )³

2. Tổng thành tích:

a) x³ - 3x² + 3x - 1

b) x³ + 6x² + 12 + 8.