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

Question

Responses

6x3−4x2+2x

6x−4+2x

6x2−4x+2

6x−2

Answer 1

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

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

So, the expression now looks like this: \[ 18x^2 + 51x \]

Next, we can look for a common factor in the entire expression: \[ 3(6x^2 + 17x) \]

This expression cannot be further simplified in terms of factoring, but we should check which response it matches:

1. \( 6x^3 - 4x^2 + 2x \) - Not a match.
2. \( 6x - 4 + 2x \) - Not a match.
3. \( 6x^2 - 4x + 2 \) - Not a match.
4. \( 6x - 2 \) - Not a match.

Since none of the provided options match our simplified form, can you please double-check the original terms or clarify if there's any additional context to consider? As stated, the proper simplification was derived correctly.