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By factorizing following expression 5ab + 10ac + 15ad, answer must be

  • A.8a(3b + 2c + 3d)
  • B.5a(b + 2c + 3d)
  • C.−5a(b + 2c + 3d)
  • D.5b(a + c + d)

Answer: B

Every term shares the factor \( 5a \).

\[ 5ab + 10ac + 15ad = 5a(b + 2c + 3d) \]

Checking: \( 5a \times b = 5ab \), \( 5a \times 2c = 10ac \), \( 5a \times 3d = 15ad \). Taking out 5 alone would leave the \( a \) behind in each term.

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