Question

Phân tích đa thức thành nhân tử :

a) (a - b) . (b - a) . y + a - b

b) (x - y + z) .(a + y - x -z) .b - x + y - z

c) (2a + 3).x - (2a + 3) .y + 2a +3

d) (a - b). x + (b - a). y- a+b

Answer 1

a: \(=-y\left(a-b\right)^2+\left(a-b\right)\)

\(=\left(a-b\right)\left(-ya+yb+1\right)\)

b: \(=\left(x-y+z\right)\left(a+y-x-z\right)\cdot b-\left(x-y+z\right)\)

\(=\left(x-y+z\right)\left(ab-yb-xb-zb-1\right)\)

c: \(\left(2a+3\right)\cdot x-\left(2a+3\right)\cdot y+2a+3\)

\(=\left(2a+3\right)\left(x-y+1\right)\)

d: \(=\left(a-b\right)\cdot x-\left(a-b\right)\cdot y-\left(a-b\right)\)

\(=\left(a-b\right)\left(x-y-1\right)\)