Разложите на множители 1)(x-y)+b(y-x) 2)2b(x-y)-(y-x) 3)a(b-c)+x(b-c)-7(b-c) 4)x(a-2)+y(2-a)-(2-a) 5)3(x+y)(x-y)-(x+y)^2 6)3m(n-m)^2-9m^2(m-n)

1)(x-y)+b(y-x)=-(y-x)+ b(y-x)= (y-x)(b-1) 2)2b(x-y)-(y-x)= 2b(x-y)+(x-y)= (x-y)(2b+1) 3)a(b-c)+x(b-c)-7(b-c)= (b-c)(a+x-7) 4)x(a-2)+y(2-a)-(2-a)= x(a-2)-y(a-2)+(a-2)= (a-2)(x-y+1) 5)3(x+y)(x-y)-(x+y)²=(x+y)(3(x-y) -(x+y)) = (x+y)(3x-3y –x-y) = 2(x+y)(x-y) 6)3m(n-m)²-9m²(m-n)= (m-n)( 3m(n-m)- 9m²)= (m-n)( 3mn-3m²- 9m²)= 3m(m-n)( n-4m)