Question

Which of the following is the simplified form of 18x2−12x+63x ?(1 point)
Responses

6x3−4x2+2x
6 x cubed minus 4 x squared plus 2 x

6x2−4x+2
6 x squared minus 4 x plus 2

6x−4+2x
6 x minus 4 plus Start Fraction 2 over x End Fraction

6x−2

Answer 1

To simplify the expression \( 18x^2 - 12x + 63x \), we first combine like terms.

1. Combine the \( -12x \) and \( +63x \):
\[
-12x + 63x = 51x
\]

2. Now the expression is:
\[
18x^2 + 51x
\]

3. Next, we can factor out the common factor, which is 3:
\[
3(6x^2 + 17x)
\]

Now we check the options provided:
- **None of the options seem to match the simplified expression directly.**
- However, we can also express the factored form but it does not correspond directly to any of the options either.

Thus, the correct approach would yield \( 3(6x^2 + 17x) \), which doesn't match any provided option.

If you would like to choose the closest match based on provided response options:
- None actually match \( 3(6x^2 + 17x) \).

If there is another consideration in response options or if there's a typographical error in one of the listed options, it would be vital to recheck or refine the question.