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, \(\left(a-b\right)\left(b-a\right)y+a-b\)

\(=\left(a-b\right)\left(by-ay+1\right)\)

b, \(\left(x-y+z\right)\left(a+y-x-z\right)b-x+y-z\)

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

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

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

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

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

d, \(\left(a-b\right)x+\left(b-a\right)y-a+b\)

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

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