Simplify: \(\frac{54k^2 - 6}{3k + 1}\)

MATHEMATICS
WAEC 2012

Simplify: \(\frac{54k^2 - 6}{3k + 1}\)

  • A. 6(1 - 3k2)
  • B. 6(3k2 - 1)
  • C. 6(3k - 1)
  • D. 6(1 - 3k)

Correct Answer: C. 6(3k - 1)

Explanation

\(\frac{54k^2 - 6}{3k + 1} = \frac{6(9k^2 - 1)}{3k + 1}\)

= \(\frac{6(3k + 1) - (3k - 1)}{3k + 1}\)

= 6(3k - 1)



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