Разложите на множетели: 1) ax - bx + cx - ay + by - вопрос №704019912 от miloft 22.09.2020 21:52

Question

Алгебра: Разложите на множетели: 1) ax - bx + cx - ay + by -cy 2) ax + bx - cx - ay - by + cy + az + bz - cz

miloft · Answer

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).