1.
а) 2x^2-xy=x(2x-y)
б) ab+3ab^2=ab(1+3b)
в) 2y^4+6y-4y^2=2y(y^3+3-2y)
г) 2a(a-1) +3(a-1)=(a-1) (2a+3)
д) 4x-4y+ax-ay=4(x-y) +a(x-y) =(x-y) (4+a)
2.
а) 2a^2b^2-6ab^3+2a^3b=2ab(ab-3b^2+a^2)
б) a^2(a-2) -a(a-2) ^2=a^3-2a^2-a(a^2-4a+4) =a^3-2a^2-a^3+4a^2-4a=2a^2-4a
в) 3x-xy-3y+y^2=x(3-y) -y(3-y) =(3-y) (x-y)
г) ax-ay+cy-cx+x-y=x(a-c+1) (x-y) =(a-c+1) (x-y)
3.
1) 2 2/3* 3 2/3- 2 2/3^2-2* 3 2/3+2 2 2/3=
8/3*11/3-2 2/3^2-2*11/3+2*8/3=
88/9- 2 2/3^2-22/3+16/3=
70/9-(8/3) ^2=
70/9-64/9=2/3; 0,6
4.
x^2(x+2) -(x+2) (x^2-2x+4) -2x^2+4x=0
x^3+2x^2+(x^3+8) =2x^2+4x=0
x^3-x^3-8+4x=0
-8+4x=0
4x=8
x=2