Answer :
Let's simplify the expression step-by-step.
The original expression is:
[tex]2x^2 + 6x - 12 + 5(-3 - 2x)[/tex]
First, distribute the 5 across the terms inside the parentheses:
[tex]5(-3 - 2x) = 5 imes (-3) + 5 imes (-2x)[/tex]
This simplifies to:
[tex]-15 - 10x[/tex]
Now, substitute back into the original expression:
[tex]2x^2 + 6x - 12 - 15 - 10x[/tex]
Next, combine like terms:
- Combine the [tex]x[/tex] terms: [tex]6x - 10x = -4x[/tex]
- Combine the constant terms: [tex]-12 - 15 = -27[/tex]
So, the expression becomes:
[tex]2x^2 - 4x - 27[/tex]
Therefore, the correct rewritten expression is:
3. [tex]2x^2 - 4x - 27[/tex]
