1:
a: =x^2+3x+4x+12
=x(x+3)+4(x+3)
=(x+3)(x+4)
b: =4x^2-4x-5x+5
=4x(x-1)-5(x-1)
=(x-1)(4x-5)
c: =2x^2-3x-4x+6
=x(2x-3)-2(2x-3)
=(2x-3)(x-2)
3:
a: =2x^2-6xy+xy-3y^2
=2x(x-3y)+y(x-3y)
=(x-3y)(2x+y)
b: =x^2+3xy-xy-3y^2
=x(x+3y)-y(x+3y)
=(x+3y)*(x-y)
c: =6x^2+4xy-3xy-2y^2
=2x(3x+2y)-y(3x+2y)
=(3x+2y)(2x-y)