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By factorizing algebraic expression cx + cy - dx - dy, answer will be

  • A.(c - d)(x + y)
  • B.(c + d)(x - y)
  • C.(2c - 3d)(4x + 5y)
  • D.(5c + 2d)(10x - 15y)

Answer: A

Group in pairs and factor each.

\[ cx + cy - dx - dy = c(x + y) - d(x + y) \]

\[ = (c - d)(x + y) \]

Taking out \( -d \) from the second pair turns \( -dx - dy \) into \( -d(x+y) \), matching the first bracket.

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