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By factorizing algebraic expression 36ab - 48bc, answer must be

  • A.6b(6a + 8c)
  • B.8b(2a - 5c)
  • C.6b(6a - 8c)
  • D.7b(5a - 9c)

Answer: C

Look for the common factors of the coefficients and the variables.

\[ 36ab - 48bc = 6b(6a - 8c) \]

Checking: \( 6b \times 6a = 36ab \) and \( 6b \times 8c = 48bc \).

The variable \( b \) appears in both terms and comes out; \( a \) and \( c \) do not. A fuller factorisation is \( 12b(3a - 4c) \), but among the options only \( 6b(6a - 8c) \) expands back correctly.

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