Question

разложить по множителям.

1) x^2-2xy+y^2-m^2

2) x^2-(x-3)-2x(x-3)+x-3

Answer 1

1)
$\x^{2}-2xy+y^{2}-m^{2}=left ( x-y right )^{2}-m^{2}=\ =(x-y+m)(x-y-m)$

2)
$\x^2-(x-3)-2x(x-3)+x-3=\ =x^2-x+3-2x^2+6x+x-3=\ =-x^2+6x=x(6-x)$