Question

Разложите многочлен в виде произведения: 1) x(a-b)+y (b-a)=? 2) m^2 (a-2)+n(2-a)=? 3) 2m (x-y)-y+x=? 4) 2n(x-y)-(y-x)=?

Answer 1

1) x(a-b)+y (b-a)= x(a-b)-y (a-b)=(x-y)(a-b)
 2) m^2 (a-2)+n(2-a)=m^2 (a-2)-n(a-2)=(a-2)(m^2-n)
 3) 2m (x-y)-y+x=2m(x-y)+(x-y)=(2m+1)(x-y)
 4) 2n(x-y)-(y-x)=2n(x-y)+(x+y)=(2n+1)(x+y)