1.А) 5х2у – ху=ху(5х-1)
б) mn + m2n2 =mn(1+mn)
в) 9у2 – 47=9(3y-7)(3y+7)
Г) 7х(х + 2) - 2(х + 2) =(7x-2)(x+2)
д)16а – а3 =a(16-a2)=a(4-a)(4+a)
Е) ab + 2ac + 3b + 6c=Е) (ab + 3b) + (2ac + 6c)=b(a+3)+2c(a+3)=(2c+b)(a+3)
Ж) 5х2 – 10ху + 5у2=5(х2-2ху+у2)=5(х+у)2=5(х+у)(х+у)
2.
а) 2a2b2 – 6ab3 + 2a3b=2ab(ab-3b2+a2)
Б) 3x – xy – 3y + y2=x(3-y)-y(3-y)=(x-y)(3-y)
В) ax – ay + cy – cx + x - y =a(x-y)+c(y-x)+(x-y)=(a+c+1)(y-x)
3.xy – x2 – 2y + 2x = (2x– x2) +(xy – 2y)=-x(x-2)+y(x-2)=(y-x)(x-2)
если х=2 2/3 = 8/3 а у=3 2/3=11/3
(11/3-8/3)(8/3-6/3)=3/3*2/3=2/3