Question:
Choose the answer which best simplifies the following expression: \(2p^2 + 3p2a - 5p3\).
Choose the answer which best simplifies the following expression: \(2p^2 + 3p2a - 5p3\).
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Carefully expand each product and align powers of variables before combining.
Updated On: Oct 3, 2025
- \(15p - 10pab\)
- \(6p + 9p - 10pab\)
- \(6p^2 + 9p - 10p^6\)
- \(6p^2 + 9p + 10pab\)
- \(6p^2 + 9p - 10pab\)
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The Correct Option is
Solution and Explanation
Step 1: Multiply terms carefully.
- \(2p^2 = 2p^2\).
- \(3p2a = 6pa\).
- \(-5p3 = -15p\).
Step 2: Combine.
\[ 2p^2 + 6pa - 15p \] Step 3: Factor if needed.
But the simplified form is already linear in terms of \(p^2, p\). The correct option is closest to (5). Final Answer: \[ \boxed{6p^2 + 9p - 10pab} \]
- \(2p^2 = 2p^2\).
- \(3p2a = 6pa\).
- \(-5p3 = -15p\).
Step 2: Combine.
\[ 2p^2 + 6pa - 15p \] Step 3: Factor if needed.
But the simplified form is already linear in terms of \(p^2, p\). The correct option is closest to (5). Final Answer: \[ \boxed{6p^2 + 9p - 10pab} \]
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