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.