Question:

Choose the answer which best simplifies the expression below: \[ 2a14 - y - 38 + a \]

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Always check if constants multiply with variables before expanding. Misreading expressions like \(2a14\) as \(2a^{14}\) instead of \(2a \times 14\) leads to errors.
Updated On: Sep 30, 2025
  • \( 2a^2 + 16a + 3y - 42112 - 8y + 14a - ay \)
  • \( 2a^2 + 16a + 3y + 42112 - 8y + 14a - ay \)
  • \( 2a^2 + 16a + 3y - 42112 - 8y - 14a - ay \)
  • \( 2a^2 + 16a + 3y - 42 - 112 - 8y + 14a - ay \)
  • \( 2a^2 + 16a - 3y - 42112 - 8y + 14a - ay \)
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The Correct Option is D

Solution and Explanation

Step 1: Simplify the given expression.
We have: \[ 2a14 - y - 38 + a = 2a(14) - y - 38 + a = 28a - y - 38 + a \]
Step 2: Combine like terms.
\[ 28a + a - y - 38 = 29a - y - 38 \] So the simplified expression is: \[ 29a - y - 38 \] This corresponds to option (D) in the list.
Final Answer: \[ \boxed{29a - y - 38} \]
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