-3x^2+12xy^2-6xy
=-3x(x-4y^2+2y)
x^2(a-b)+y(a-b)
=(x^2+y)(a-b)
x^2(a-b)+y(b-a)
=x^2(a-b)-y(a-b)
=(x^2-y)(a-b)
5a^2b(x-y)^3-30ab^2(y-x)^2
=5a^2b(x-y)^3-30ab^2(x-y)^2
=5ab(x-y)^2[a(x-y)-6b]
=5ab(x-y)^2(ax-ay-6b)
-3x^2+12xy^2-6xy
=-3x(x-4y^2+2y)
x^2(a-b)+y(a-b)
=(x^2+y)(a-b)
x^2(a-b)+y(b-a)
=x^2(a-b)-y(a-b)
=(x^2-y)(a-b)
5a^2b(x-y)^3-30ab^2(y-x)^2
=5a^2b(x-y)^3-30ab^2(x-y)^2
=5ab(x-y)^2[a(x-y)-6b]
=5ab(x-y)^2(ax-ay-6b)