Question

1)x^2-y^2+x-y= 2)4x^2-4xy+y^2-= 3)ac^4-c^4-ac^2+c^2= 4)4-m^2+2mn-n^2= РА3ЛОЖИТЕ НА МНОЖИТЕЛИ

Answer 1

$1)x^2-y^2+x-y=(x-y)(x+y)+x-y=(x-y)(x+y+1) \\ 2)4x^2-4xy+y^2=(2x-y)^2 \\ 3)4-m^2+2mn-n^2=4-(m^2-2mn+n^2)=4-(m-n)^2=(2- \\ -(m-n))(2+(m-n))=(2-m+n)(2+m-n) \\ 4)ac^4-c^4-ac^2+c^2=c^2(ac^2-c^2-a+1)=c^2(c^2(a-1)-(a-1))= \\ =c^2(a-1)(c^2-1)=c^2(a-1)(c-1)(c+1)$