Question

Разложите на множетели:1) ax - bx + cx - ay + by -cy2) ax + bx - cx - ay - by + cy + az + bz - cz

Answer 1

1)X(a-b+c)-y(a-b+c)
2)x(a+b-c)-y(a+b-c)+z(a+b-c)

Answer 2

1) ax - bx + cx - ay + by -cy=a(x-y)-b(x-y)+c(x-y)=(x-y)(a-b+c).       
2) ax + bx - cx - ay - by + cy + az + bz - cz=(ax + bx - cx) - (ay - by + cy) + (az + bz - cz)=x(a+b-c)-y(a+b-c)+z(a+b-c)=(a+b-c)(x-y+z).