Question

Which of the following is the simplified form of 18x2−12x+63x ?(1 point) Responses 6x2−4x+2 6 x squared minus 4 x plus 2 6x3−4x2+2x 6 x cubed minus 4 x squared plus 2 x 6x−2 6 x minus 2 6x−4+2x

Answer 1

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

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

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

Next, we can factor out the greatest common factor from the entire expression:
\[
3x(6x + 17)
\]

However, the options provided do not directly list a factored form. Let's check if we can further simplify or correctly format our expression.

Given the response options:
- \( 6x^2 - 4x + 2 \)
- \( 6x^3 - 4x^2 + 2x \)
- \( 6x - 2 \)
- \( 6x - 4 + 2x \)

None of these directly match \( 18x^2 + 51x \) or even the factored form \( 3x(6x + 17) \). Therefore, none of the provided options is correct based on the simplification of \( 18x^2 - 12x + 63x \).

If you meant the original expression is \( 18x^2 - 12x + 63x \) and simply forgot to mention the combining step leading to \( 18x^2 + 51x \), consider re-examining the options since there is no direct match among them after the simplifications and re-factoring.

The correct simplified form of your expression is:
\[
18x^2 + 51x
\] or factored as
\[
3x(6x + 17)
\]

Confirm if the provided options were correct or if there's any transcription error in the input.