To simplify the expression \( 18x^2 - 12x + 63x \), we first combine like terms.
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Combine the \( -12x \) and \( +63x \): \[ -12x + 63x = 51x \]
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Now the expression is: \[ 18x^2 + 51x \]
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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.