a)(a-b)^3
=a^3-3a^2b+3ab^2-b^3(1)
-(b-a)^3
=-(b^3-3b^2a+3ba^2-a^3)
=a^3-3a^2b+3ab^2-b^3(2)
từ (1) và(2) =>(a-b)^3= -(b-a)^3( Đpcm)
b)(-a-b)^2
=(-a+(-b))^2
=(-a)^2+2ab+(-b)^2
=a^2+2ab+b^2
=(a+b)^2(dpcm)
c)x(x-3y)^2+y(y-3x)^2
=x(x^2-6xy+9y^2)+y(y^2-6xy+9x^2)
=x^3-6x^2y+9xy^2+y^3-6xy^2+9x^2y
=x^3+3x^2y+3xy^2+y^3=(x+y)^3(dpcm)
@htkbaam