X2 + 4X - Y2 + 4 = ( X2 + 4X + 4) - Y2 = (X+2)2 - Y2 = (X + 2 - Y)...

3) x

2

+ 4x - y

2

+ 4 = ( x

2

+ 4x + 4) - y

2

= (x+2)

2

- y

2

= (x + 2 - y) (x+ 2 +

y)

Ví dụ 2: Tìm x biết:

a) x

3

+ x

2

+ x + 1 = 0 b) x(x - 3) - x + 3 = 0

(x

3

+ x

2

) + (x + 1) = 0 x(x - 3) - (x - 3) = 0

x

2

(x +1) + (x + 1) = 0 (x-1) (x - 3) =

0

( x

2

+1). (x + 1) = 0 Suy ra: x = 1 hoặc x = 3

Suy ra: x = -1 (do x

2

+1 >0)