Answer :
1- [tex]8x^2+12x \\ =4x*2x+4x*3 \\ =4x(2x+3) \\ =A[/tex]
2- [tex]20mn-30m \\ =10m*2n-10m*3 \\ =10m(2n-3) \\ =B[/tex]
3- [tex]15x^3-12x \\ =3x*5x^2-3x*4 \\ =3x(5x^2-4) \\ =B[/tex]
4- [tex]12x^2y-3x^2y^2-15xy \\ =3xy*4x-3xy*xy-3xy*5 \\ =3xy(4x-xy-5) \\ =C[/tex]
5- [tex]24w^2x^6-8wx^3 \\=8wx^3*3wx^3-8wx^3*1 \\ =8wx^3(3wx^3-1) \\ =D[/tex]
2- [tex]20mn-30m \\ =10m*2n-10m*3 \\ =10m(2n-3) \\ =B[/tex]
3- [tex]15x^3-12x \\ =3x*5x^2-3x*4 \\ =3x(5x^2-4) \\ =B[/tex]
4- [tex]12x^2y-3x^2y^2-15xy \\ =3xy*4x-3xy*xy-3xy*5 \\ =3xy(4x-xy-5) \\ =C[/tex]
5- [tex]24w^2x^6-8wx^3 \\=8wx^3*3wx^3-8wx^3*1 \\ =8wx^3(3wx^3-1) \\ =D[/tex]