can you please help me to factorize the following
1. a^2(b+c)+b^2(c+a)+c^2(a+b)+2abc

2. ab(a^2-b^2)+bc(b^2-c^2)+ca(c^2-a^2)

3. Use factor theorem to prove ;(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)=24xyz