QuestionAugust 27, 2025

Simplify the following expression by combining like terms: 3+v+4v^2+2-v^2+3v [?]v^2+[ ]v+[ ]

Simplify the following expression by combining like terms: 3+v+4v^2+2-v^2+3v [?]v^2+[ ]v+[ ]
Simplify the following expression by combining like terms: 3+v+4v^2+2-v^2+3v [?]v^2+[ ]v+[ ]

Solution
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Answer

3v^{2}+4v+5 Explanation 1. Combine like terms for v^2 Add 4v^2 and -v^2: 4v^2 - v^2 = 3v^2 2. Combine like terms for v Add v and 3v: v + 3v = 4v 3. Combine constant terms Add 3 and 2: 3 + 2 = 5

Explanation

1. Combine like terms for $v^2$<br /> Add $4v^2$ and $-v^2$: $4v^2 - v^2 = 3v^2$<br />2. Combine like terms for $v$<br /> Add $v$ and $3v$: $v + 3v = 4v$<br />3. Combine constant terms<br /> Add $3$ and $2$: $3 + 2 = 5$
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