Question
Which of the following is the simplified form of 18x2−12x+63x?(1 point)
Responses
6x3−4x2+2x
6x−4+2x
6x2−4x+2
6x−2
Responses
6x3−4x2+2x
6x−4+2x
6x2−4x+2
6x−2
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
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.
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