Question

Разложите на множители m(3) - m - am(2) + a 2) ay - 2a - b - 2by - y(2) 3) x(2) + 4yz - xy - 4xz 4) ay(2) + 2a(2) -a(3) - 2y(2)

Answer 1

1) m³-m-am²+a=(m³-m)-(am²-a)=m(m²-1)-a(m²-1)=(m²-1)(m-a)=(m-1)(m+1)(m-a)
2) ay-2a-b-2by-y²=?
3) x²+4yz-xy-4xz=x²-xy-4xz+4yz=x(x-y)-4z(x-y)=(x-y)(x-4z)
4) ay²+2a²-a³-2y²=ay²-2y²-a³+2a²=y²(a-2)-a²(a-2)=(a-2)(y²-a²)=(a-2)(y-a)(y+a)