Answer:
The factorized expression is [tex]x(3x + y)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3x^2 + xy[/tex]
Factorizing:
We place the common factor in evidence.
The common factor of both elements of the sum is x. So
[tex]3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)[/tex]
The factorized expression is [tex]x(3x + y)[/tex]