Question

An expression is shown below:

3x3y + 15xy − 9x2y − 45y

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.

Answer 1

A]
3x^3y+15xy-9x^2y-45y
=3x^3y+3*5x*y-3*3x^2*y-3*15y
factoring 3y we get:
3y(x^3+5x-3x^2-15)

B]
Factoring the expression we get:
3x^3y+15xy-9x^2y-45y
=3xy(x^2+5)-9y(x^2+5)
=(3xy-9y)(x^2+5)