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Sure

The question is Factor completely 2x3y4 − 8x2y3 + 6xy2.

What's d question?

so bassicaly find the GCF

ok

\(2x^3y^4 − 8x^2y^3 + 6xy^2\)

yes

|dw:1442526155297:dw|

can you go on from this?

Correct. The number part of the GCF is 2.
Now you need the variable part of the GCF.

yes

|dw:1442526095341:dw|

Degree of a variable is the exponent. You are correct.

okay but both x and y have an exponet that is the same

3 and 2

yes i understand that :)

okay I got that

so which ever one has the less is the one you need?

so 2x? is what your dividing everything by?

or 2xy?

2xy^2

Correct. Use 2xy^2.

okay imma try to see if i can fiqure i out and tell me if im right?

ok heres what i got

2xy2(x2y2 − 4xy + 3)

\(2xy^2(x^2y^2 - 4 xy + 3)\)
Excellent. You got the same I did.

We are not done, though.

AHhhh lol
i thought we were

Now think of the product xy as a variable.
Let's say xy = z.
That means x^2y^2 = z^2

yes

ok

The trinomial in the parentheses is a quadratic trinomial in z.
We need to try to factor it.

ok

According to your choices, we are done, and the answer is C.

Thank you so much! :D

Just for completeness, let's just finish factoring because the trinomial is also factorable.

Ok

You're welcome.