2.
a. x3 - 4x2 + 4x
= x(x2 - 4x + 4)
= x(x - 2)2
c. 3x2 + x - 4
= 3x2 + 4x - 3x - 4
= x(3x + 4) - (3x + 4)
= (x - 1)(3x + 4)
a) \(x^3-4x^2+4x=x\left(x^2-4x+4\right)=x\left(x-2\right)^2\)
b) \(x^2-y^2-6y-9=x^2-\left(y^2+6y+9\right)=x^2-\left(y+3\right)^2=\left(x-y-3\right)\left(x+y+3\right)\)
c) \(3x^2+x-4=3x\left(x-1\right)+4\left(x-1\right)=\left(x-1\right)\left(3x+4\right)\)