Question

Представьте в виде произведения
1. 3a²-6ab+3b²
2.a²b-4abc+4bc²
3.2x²-4x+2
4.-5a-10ab-5b²
5.-a²+12ab-36b²
6.-12x³-12x²-3x

Answer 1

1)3a²-6ab+3b²=3(a²-2ab+b²)=3(a-b)²
2)a²b-4abc+4bc²=b(a²-4ac+4c²)=b(a-2c)²
3)2x²-4x+2=2(x²-2x+1)=2(x-1)²
4)-5a²-10ab-5b²=-5(a²+2ab+b²)=-5(a+b)²
5)-a²+12ab-36b²=-(a²-12ab+36b²)=-(a-6b)²
6)-12x³-12x²-3x=-3x(4x²+4x+1)=-3x((2x+1)²