1) \(2x^2-4x+2=2\left(x^2-2x+1\right)=2\left(x-1\right)^2\)
2: \(3x^3-6x^2y+3xy^2=3x\left(x^2-2xy+y^2\right)=3x\left(x-y\right)^2\)
3: \(5x^2+10xy+5y^2=5\left(x^2+2xy+y^2\right)=5\left(x+y\right)^2\)
4: \(2x^2-8=2\left(x^2-4\right)=2\left(x-2\right)\left(x+2\right)\)
5: \(8x^2-18=2\left(4x^2-9\right)=2\left(2x-3\right)\left(2x+3\right)\)
6) \(8x^2-4y=4\left(x^2-4y\right)\)
1) 2x2-4x+2=2x2-2x-2x+2=(2x2-2x)-(2x-2)=2x(x-1)-2(x-1)=(2x-2)(x-1)=2(x-1)2
2) 3x3-6x2y+3xy2=3x(x2-2xy+y2)=3x(x-y)2
3) 5x2+10xy+5y2=5(x2+2xy+y2)=5(x+y)2
4) 2x2-8=2(x2-4)=2(x-2)(x+2)
5) 8x2-18=2(4x2-9)=2(2x-3)(2x+3)
6) 8x2-4y=4(2x2-y)