(6-y)(6+y)/(y-8)(y/(y-6)-2y/(y-6)^2)+12y/(y-6)=
=(6-y)(6+y)/(y+8)*(y^2-8y)/(y-6)^2+(12-y)/(y-6)=
=-y(6+y)/(y-6)+12y/(y-6)=(-6y-y^2+12y)/(y-6)=(6y-y^2)/(y-6)=y(6-y)/(y-6)=-y
(x+9y)²-(9x+y)²= (x+9y+9x+y)(x+9y-9x-y)=(10x+10y)(-8x+8y)=80(x+y)(y-x)
(2 7/9 z+3 1/3)*3/5 = 1/6 z+6 1/2
(25/9 z+10/3)*3/5 = 1/6 z+6 1/2
25*3/9*5 z + 10*3/3*5= 1/6 z +6 1/2
5/3 z + 2- 1/6 z= 6 1/2
10/6 z -1/6 z= 6 1/2 - 2
9/6 z= 4 1/2
3/2 z= 9/2
z= 9/2 : 3/2
z= 9/2 * 2/3
z= 3