1. m-n+2p(m-n)=(m-n)+2p(m-n)=(m-n)(1+2p)
2. ax+bx+ac+bc=x(a+b)+c(a+b)=(a+b)(x+c)
3. ax-ay+bx-by=a(x-y)+b(x-y)=(x-y)(a+b)
4. px+py-5x-5y=p(x+y)-5(x+y)=(x+y)(p-5)
5. 6x+7y+42+xy=x(6+y)+7(y+6)=(6+y)(x+y)
6. 2x+7y+14+xy=x(2+y)+7(2+y)=(2+y)(x+7)
1. m-n+2p(m-n)=(m-n)+2p(m-n)=(m-n)(1+2p)
2. ax+bx+ac+bc=x(a+b)+c(a+b)=(a+b)(x+c)
3. ax-ay+bx-by=a(x-y)+b(x-y)=(x-y)(a+b)
4. px+py-5x-5y=p(x+y)-5(x+y)=(x+y)(p-5)
5. 6x+7y+42+xy=x(6+y)+7(y+6)=(6+y)(x+y)
6. 2x+7y+14+xy=x(2+y)+7(2+y)=(2+y)(x+7)