Question

Разложите на множители 2cx^2-8c;-5a^2-20ab-20b^2;3x-xy-3y+y^2;50b-2a^2b;-3x^2+12x-12;x^2+xy-3x-3y

Answer 1

2cx²-8c=2с(х²-4)=2с(х-2)(х+2)
-5a²-20ab-20b²=-5(а²+4ab+4b²)=-5(a+2b)²
3x-xy-3y+y²=x(3-y)-y(3-y)=(3-y)(x-y)
50b-2a²b=2b(25-a²)=2b(5-a)(5+a)
-3x²+12x-12=-3(x²-4x+4)=-3(x-2)²
x²+xy-3x-3y=x(x+y)-3(x+y)=(x+y)(x-3)