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