Question

Phân tích đa thức thành nhân tử : 

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

b) x^2 - ( a + b ) x + ab

f) x( y^2 - z^2 ) + y( z^2 - x^2 ) + z( x^2 - y^2 ) 

Answer 1

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

=-(x-y)-(x-y).2a

=(x-y).2a

Answer 2

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

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

=(x-y)(1+2a)

b x^2-(a+b)x+ab

=x^2-(xa+xb)+ab

=x^2-xa-xb+ab

=x(x-a)-b(x-a)

=(x-a)(x-b)

f x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2)

=xy^2-xz^2+yz^2-yx^2+zx^2-zy^2

=-xzy^2-xyz^2-zyx^2

=-xyz(y+z+x)