Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
Question 1 Report
Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
Answer Details
To simplify the expression \(\frac{54k^2 - 6}{3k + 1}\), we can start by factoring out the numerator:
\(\frac{54k^2 - 6}{3k + 1} = \frac{6(9k^2 - 1)}{3k + 1}\)
We can further simplify the numerator by recognizing that \(9k^2 - 1\) is a difference of squares, and can be factored as \((3k + 1)(3k - 1)\):
\(\frac{6(9k^2 - 1)}{3k + 1} = \frac{6(3k + 1)(3k - 1)}{3k + 1}\)
We can then cancel out the common factor of \(3k + 1\) in the numerator and denominator, which gives:
\(\frac{6(3k - 1)}{1} = 6(3k - 1)\)
Therefore, the simplified expression is \(6(3k - 1)\). The correct option is:
- 6(3k - 1)
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