Question

Simplify the algebraic expression: x(x + 3) + x(2x - 4) + 6A) 3x² +5B) 24-x²+6(C)3x²-x+6D) 3x²+x+6

Answer 1

C. 3x²-x+6

Explanation:

Given the algebraic expression:

`x\left(x+3\right)+x\left(2x-4\right)+6`

First, open the brackets:

`\begin{gathered} =x(x)+x(3)+x(2x)-x(4)+6 \\ =x^2+3x+2x^2-4x+6 \end{gathered}`

Next, rearrange to bring the like terms together:

`=x^2+2x^2+3x-4x+6`

Finally, combine the like terms:

`=3x^2-x+6`

The correct option is C.