Ban tach \(x^2\) ra ngoai . Roi nhom lai va dung hang dang thuc nha !
x4 - 2x3 + 3x2 - 2x + 2
= x4 + 4x2 + 4 - 2x3 - 2x - 2 - x2
= ( x2 + 2)2 - 2x( x2 + 1) - ( x2 + 2)
Đặt : x2 + 2 = a , ta có :
a2 - 2x( a - 1) - a
= a2 - 2ax + 2x - a
= - a( 2x - a) + ( 2x - a)
= ( 2x - a)( 1 - a)
Thay : x2 + 2 = a , ta có :
( 2x - x2 - 2)( 1 - x2 - 2)
= ( 2x - x2 - 2)( - 1 - x2)