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By factorizing 54x - 45y, answer must be

  • A.9(6x - 5y)
  • B.5(7x + 6y)
  • C.8(6x + 3y)
  • D.9(6x + 5y)

Answer: A

Both terms share a factor of 9.

\[ 54x - 45y = 9 \times 6x - 9 \times 5y = 9(6x - 5y) \]

9 is the highest common factor of 54 and 45; taking out 3 alone would leave \( 3(18x - 15y) \), which is not fully factorised.

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