Question

1) ay-2ab+2by-y^2 2)ay^2+2a^2-a^3-2y^2 Разложите на множители

Answer 1

1) ay-2ab+2by-y²=ay-2ab-y²+2by=(ay-2ab)-(y²-2by)=a(y-2b)-y(y-2b)=(y-2b)(a-y)
2) ay²+2a²-a³-2y²=ay²-2y²-a³+2a²=(ay²-2y²)-(a³-2a²)=y²(a-2)-a²(a-2)=(a-2)(y²-a²)=(a-2)(y-a)(y+a)