Question

Factor the GCF: 6x4y3 + 21x3y2 − 9x2y.

3xy(2x3y2 + 7xy − 3x)

3x2y(2x2y2 + 7xy − 3)

3x2y3(2x2 + 7xy − 3)

3x2y(2x2y + 7xy − 3y)

Answer 1

B is correct

Explanation:

I took the test and got it right

Answer 2

Answer: Second option :

`3x^2y(2x^2y^2+7xy -3)`

Explanation:

Given expression
`6x^4y^3+21x^3y^2-9x^2y`.

We need to find greatest common factor (GCF) of all the terms.

Let us write all terms in expanded form first.

`6x^4y^3 = 2 * 3 * x * x * x * x * y * y * y`

`21x^3y^2 = 3 * 7 * x * x * x * y * y.`

`9x^2y=3 * 3 * x * x * y.`

We can see that first factor is 3 common, second factor is
`x * x` and third factor is y.

Therefore, GCF would be
`3x^2y.`

Now, let us factor out GCF
`3x^2y` and keep the remaining terms inside parenthesis.

=
`3x^2y(2x^2y^2+7xy -3)`

Therefore, correct option is 2nd option
`3x^2y(2x^2y^2+7xy -3)`.