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

Question

Responses

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

6x−2
6 x minus 2

6x2−4x+2
6 x squared minus 4 x plus 2

6x3−4x2+2x

Answer 1

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

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

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

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

So, the simplified form of \( 18x^2 - 12x + 63x \) is: \[ 3x(6x + 17) \]

However, based on the choices provided:

• \( 6x - 4 + \frac{2}{x} \)
• \( 6x - 2 \)
• \( 6x^2 - 4x + 2 \)
• \( 6x^3 - 4x^2 + 2x \)

None of the options match our simplified expression \( 3x(6x + 17) \).

Thus, please check the options provided, as none of them are correct for the expression \( 18x^2 - 12x + 63x \).