[tex]1)~28a^2b-63b=7b(4a^2-9)=7b(2a-3)(2a+3)\\\\
2)~3m^2+9m-30=3(m^2+3m-10)=3(m-2)(m+5)\\\\
3)~x^3+2x^2y-4x-8y=x^2(x+2y)-4(x+2y)=(x^2-4)(x+2y)=\\\\=(x-2)(x+2)(x+2y)\\\\
4)~4y^2+7y-2=(4y-1)(y+2)\\\\
5)~48w^5-3w=3w(16w^4-1)=3w(4w^2-1)(4w^2+1)=\\\\=3w(2w-1)(2w+1)(4w^2+1)\\\\
6)~24x^2y^2-6xy^2+3xy=3xy(8xy-2y+1)[/tex]