1.
a) a(b+c)+p(b+c)= (b+c)(a+p)
b) 7(x-c)+(c-x)xc= 7(x-c)-(x-c)xc = (x-c)(7-xc)
c) 3(x-2)+y(2-x)²= -3(2-x)+y(2-x)²= (2-x)(-3+y(2-x))= (2-x)(-3+2y-xy)=
=(2-x)(2y-xy-3)
2.
a) ax+bx+Ac+bc=x(a+b)+c(a+b)=(a+b)(x+c)
b) 6x+7y+42+xy= 6x+xy+7y+42=
=x(6+y)+7(y+6)= x(y+6)+7(y+6)= (y+6)(x+7)
c) 2x²-3x+4ax-6a= x(2x-3)+2a(2x-3)= (2x-3)(x+2a)