Question

Разложите на множители многочлен 9x+ay+9y+ax= 7a-7b+an-bn= ax+ay-x-y= 1-bx-x+b= xy+2y-2x-4=

Answer 1

9x+ay+9y+ax=(9x+9y)+(ay+ax)=9(x+y)+a(y+x)=(x+y)(9+a)

7a-7b+an-bn=(7a-7b)+(an-bn)=7(a-b)+n(a-b)=(a-b)(7+n)

ax+ay-x-y=(ax+ay)-(x+y)=a(x+y)-(x+y)=(x+y)(a-1)

1-bx-x+b=(1-x)-(bx-b)=(1-x)-b(x-1)=(1-x)+b(1-x)=(1-x)(1+b)

xy+2y-2x-4=(2y-4)+(xy-2x)=2(y-2)+x(y-2)=(y-2)(2+x)