Question

Factor the expression.

6x3y – 9x2y2 + 3x2y

A. 2x2y(3x – 3y + 1)

B. (2x2y – 3x)2

C. 3x2y(2x – 3y + 1)

D. The expression cannot be factored because it is prime.

Answer 1

D.

Answer 2

Thanks!

Answer 3

. \(\large 6x^3 y - 9x^2 y^2 + 3x^2 y\) ?
We factor out the greatest common factor between the terms first, i.e. the expression that is multiplied to all three terms.
We can see that there is a \(3\) multiplied to each term. Also, there is an \(x^2\) and a \(y\) in all three terms.
. \(\large = 3x^2 y \; (2x - 3y + 1)\)
From here, there are no other ways to factor this further.