Respuesta :

Answer:

C. 3x²-x+6

Explanation:

Given the algebraic expression:

[tex]x\left(x+3\right)+x\left(2x-4\right)+6[/tex]

First, open the brackets:

[tex]\begin{gathered} =x(x)+x(3)+x(2x)-x(4)+6 \\ =x^2+3x+2x^2-4x+6 \end{gathered}[/tex]

Next, rearrange to bring the like terms together:

[tex]=x^2+2x^2+3x-4x+6[/tex]

Finally, combine the like terms:

[tex]=3x^2-x+6[/tex]

The correct option is C.