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MissPhiladelphia
I think the correct answer from the choices listed above is the first option. The expression that is a factor of 2xy + 6x – 3y – 9 would be 2x – 3. We can see by doing as follows:

2xy + 6x – 3y – 9
2x(y+3) - 3(y+3)
(2x – 3)(y+3)

Hope this helps. Have a nice day.

Answer:

(2x-3) is the answer.

Step-by-step explanation:

The given expression is :

[tex]2xy+6x-3y-9[/tex]

Grouping these terms we get-

[tex]2x(y+3)-3(y+3)[/tex]

So, the factors are :

[tex](2x-3)(y+3)[/tex]

Hence, out of the given options (2x-3) is the answer.

And he other factor is (y+3) that is not mentioned in the options.

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