Question

Answer 1

a. \(2x^3y - 4x^2y+2xy\)

= \(2xy(x^2-2x+1)\)

= \(2xy(x-1)^2\)

b, \((x-2)^2 - 36\)

= \((x-2)^2 - 6^2\)

= \((x-2-6)(x-2+6)\)

= \((x-8)(x+4)\)

c, \(x^3+3x^2-4x-12\)

= \((x^3+3x^2) - (4x+12)\)

= \(x^2(x+3) - 4(x+3)\)

= \((x+3)(x^2-4)\)

= \((x+3)(x-2)(x+2)\)