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If algebraic expression is 2(x - y) + 3(4x -5y) then answer will be

  • A.14x - 17y
  • B.17x - 14y
  • C.12x - 18y
  • D.18x + 30y

Answer: A

Expand and collect.

\[ 2(x - y) = 2x - 2y \]

\[ 3(4x - 5y) = 12x - 15y \]

\[ (2x + 12x) + (-2y - 15y) = 14x - 17y \]

Both \( y \) terms are negative, so their coefficients add in magnitude.

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