Разложите на множители: (a-x)(х^3-y^3)-(x-y)(a^3-x^3) 2x^3-2xy^2-6x^2+6y^2 5a^2-5b^2-10a^3b+10ab^3 36x^3-144x-36x^2+144 y^3+ay^2-b^2y-b^2a

(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)