X≠0, y≠0
x-y=6
x=6+y
(6+y)/y + y/(6+y) = 10/3
((6+y)²+y²) / y(6+y) = 10/3
3((6+y)²+y²) = 10y(6+y)
108+36y+6y² = 60y+10y²
4y²+24y-108=0
y²+6y-27=0
D=36-4*(-27)=36+108=144=12²
y1=(-6+12)/2=6/2=3
y2=(-6-12)/2=-18/2=-9
x1=6+3=9
x2=6+(-9)=6-9=-3
ответ: (9;3) (-3;-9)
(a-x)(x³-y³)-(x-y)(a³-x³)=
=(a-x)(x-y)(x²+xy+y²)-(x-y)(a-x)(a²+ax+x²)=
=(a-x)(x-y)(x²+xy+y²-a²-ax-x²)=
=(a-x)(x-y)(y²-a²+xy-ax)
2x³-2xy²-6x²+6y²=
=(2x³-2xy²)-(6x²-6y²)=
=2x(x²-y²)-6(x²-y²)=
=(x²-y²)(2x-6)=
=2(x-3)(x-y)(x+y)
5a²-5b²-10a³b+10ab³=
=(5a²-5b²)-(10a³b-10ab³)=
=5(a²-b²)-10ab(a²-b²)=
=(a²-b²)(5-10ab)=
=5(1-5ab)(a-b)(a+b)
36x³-144x-36x²+144=
=(36x³-36x²)-(144x-144)=
=36x²(x-1)-144(x-1)=
=(x-1)(36x²-144)=
=(x-1)(6x-12)(6x+12)=
=(x-1)*6(x-2)*6(x+2)=
=36(x-1)(x-2)(x+2)
y³+ay²-b²y-b²a=
=(y³+ay²)-(b²y+b²a)=
=y²(y+a)-b²(y+a)=
=(y+a)(y²-b²)=
=(y+a)(y-b)(y+b)