1.a(2x+y)(x-y)-a(x-y)^2 =a(x-y)[(2x+y)-(x-y)]=a(x-y)(x+2y)2.(a^2+b^2)-4a^2b^2 =(a²+b²+2ab)(a²+b²-2ab)=(a+b)²(a-b)²3.y^3+5y^2-24y=y(y²+5y-24)=y(y+8)(y-3)