Разложите многочлен на множители: 1)а^3-2а^2-2а+4 2)-у^6-у^5+у^4+у^3 3)х^2+2х-15 4)16ав^2-10с^3+32ас^2-5в^2с 5)5х^х+3+10х^3 6)4х^х+2+20х 7)3х^2+4х-7 8)2у^2-7у-9

1) (a-2)(a^2-2)
2) -y^5(y+1)+y^3(y+1)= (y^3-y^5)(y+1)
3) (x+5)(x-3)
4) 16ab^2-5b^2c+32ac^2-10c^3= (b^2+2c^2)(16a-5c)
5) ошибка
6) ошибка
7) (x-1)(3x+7)
8) (2x-9)(x+1)

1)а^3-2а^2-2а+4=a²(a-2)-2(a-2)=(a-2)(a²-2)
2)-у^6-у^5+у^4+у^3=-y^5*(y+1)+y³(y+1)=(y+1)(-y^5+y³)=y³(1-y²)(y+1)=
=y³(1-y)(1+y)(y+1)=y³(1-y)(1+y)²
3)х^2+2х-15=(x²-3x)+(5x-15)=x(x-3)+5(x-3)=(x-3)(x+5)
4)16ав^2-10с^3+32ас^2-5в^2с=16a(b²+2c²)-5c(b²+2c²)=(b²+2c²)(16a-5c)
7)3х^2+4х-7=(3x+7)(x-1)
8)2у^2-7у-9=(2x-9)(x+1)