Question

factor the gcf -6x^3y 9x^2y^2-11xy^3 a.3xy(-2x^2 3xy-4y^2) b.-3xy(2x^2 3xy-4y^2) c.-3xy(2x^2-3xy 4y^2) d.-3(2x^3y-3x^2y^2 4xy^3)

Answer 1

First, gather like terms.
-6 * 9x^3x^2yy^2 - 11xy^3

Then use Product Rule (x^ax^b = x^a+b)
-6 * 9x^(3+2)y^(1+2)-11xy^3

Simplify that.
-6 * 9x^5y^3-11xy^3

Then simplify again.

-54x^5y^3 - 11xy^3

The Greatest Common Factor = xy^3 (if you need my to explain how I got this, just ask).

Then factor the GCF:

xy^3 ( (54x^5y^3)/(xy^3) + (11xy^3)/(xy^3) )

Then simplify

-xy^3(54x^4 + 11)

So unless I am misunderstanding this question, is there a none-of-the-above answer?