Respuesta :

Answer:

[tex]15 {g}^{2} + 15g[/tex]

Step-by-step explanation:

The given expresion is

[tex]3(5 {g}^{2} + 15g)[/tex]

when we expand this expression we get;

[tex]3(5 {g}^{2} + 15g) = 15 {g}^{2} + 45g [/tex]

Now let us analyze the options:

First:

[tex]15 {g}^{2} + 45g[/tex]

This is equivalent to the given expresion.

Second:

[tex]15({g}^{2} + 3g) = 15{g}^{2} + 45g[/tex]

Also equivalent

Third:

[tex]15g({g} + 3) = 15{g}^{2} + 45g[/tex]

Also equivalent

Fourth:

[tex]15 {g}^{2} + 15g \ne 15{g}^{2} + 45g[/tex]

Not equivalent

the answer is

15g2+15g