An expression is shown below: 3x3y + 12xy − 9x2y − 36y part a: rewrite the expression so that the gcf is factored completely. show the steps of your work. (4 points) part b: rewrite the expression completely factored. show the steps of your work.

part a: 3y(x^3-3x^2+4x-12)

find gcf: 3y

rewrite 36 as 12*3

rewrite 12 as 4*3

rewrite 9 as 3*3

3x^3y -3*3x^2y +4*3xy -4*3*3y

factor out common term 3y

3y(x^3-3x^2+4x-12)

part b: 3y(x-3)(x^2+4)

3y(x^3-3x^2+4x-12)

x^3-3x^2+4x-12

(x^3-3x^2)+(4x-12)

x^2(x-3)+4(x-3)

(x-3)(x^2+4)

3y(x-3)(x^2+4)