Как разложить на множетели: 3x^2-12 32a^4b-2a^2b 2m^2+2n^2-4mn 12m^5n+24m^4n+12m^3n (x^2+2x)^2-1 81-(y^2+6y)^2

[latex]3 x^2-12=3(x^2-4)=3(x-2)(x+2)[/latex] [latex]32a^4b-2a^2b=2a^2b(16a^2-1)=2a^2b(4a-1)(4a+1)[/latex] [latex]2m^2+2n^2-4mn=( m\sqrt{2} -n \sqrt{2} )^2[/latex] [latex]12m^5n+24m^4n+12m^3n = 12m^3n(m^2+2m+1)=12m^3n(m+1)^2[/latex] [latex](x^2+2x)^2-1=(x^2+2x-1)(x^2+2x+1)=(x^2+2x-1)(x+1)^2[/latex] [latex]81-(y^2+6y)^2=(9 - (y^2+6y))(9+y^2+6y) = (9-y^2-6y)(y+3)^2[/latex]