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)