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Mathematics 19 Online
OpenStudy (secret-ninja):

Factor completely 3a^4y^3 - 12a^3y^2 + 6a^2y. A. 3(a^4y^3 - 4a^3y^2 + 2a^2y) B. 3a^2y(a^2y^2 - 4ay + 2) C. 3y(a^4y^2 - 4a^3y + 2a^2) D. Prime

OpenStudy (secret-ninja):

I think its B.

OpenStudy (anonymous):

You got it! :D

OpenStudy (cwrw238):

take it step by step GCF of 3 6 and 12 is so take 3 out

OpenStudy (cwrw238):

what about the terms in a?

OpenStudy (secret-ninja):

For a, I got 2 and y is 1.

OpenStudy (cwrw238):

right

OpenStudy (secret-ninja):

So I assumed it was B because it was the only one that fit, and when I distributed, I got the equation in the question.

OpenStudy (anonymous):

\(3a^4y^3 - 12a^3y^2 + 6a^2y\) The GCF is \(3a^2y\).. That leaves you with: \(a^2y^2 - 4ay + 2\)

OpenStudy (cwrw238):

yes B is correct

OpenStudy (secret-ninja):

Thanks. ^-^

OpenStudy (cwrw238):

yw

OpenStudy (anonymous):

So we put it as: \(3a^2y(a^2y^2 - 4ay + 2)\)

OpenStudy (cwrw238):

yes

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