Questions: (7v+1)+(6v^2+4v+3)

(7v+1)+(6v^2+4v+3)
Transcript text: \((7 v+1)+\left(6 v^{2}+4 v+3\right)\)
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Solution

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Solution Steps

To simplify the given expression, we need to combine like terms. The expression consists of a linear term, a quadratic term, and a constant term. We will add the coefficients of the like terms together.

Step 1: Combine Like Terms

To simplify the expression \((7v + 1) + (6v^2 + 4v + 3)\), we first identify and combine like terms. The expression consists of a quadratic term \(6v^2\), linear terms \(7v\) and \(4v\), and constant terms \(1\) and \(3\).

Step 2: Simplify the Expression

Combine the coefficients of the like terms:

  • Quadratic term: \(6v^2\)
  • Linear terms: \(7v + 4v = 11v\)
  • Constant terms: \(1 + 3 = 4\)

Thus, the simplified expression is: \[ 6v^2 + 11v + 4 \]

Final Answer

\[ \boxed{6v^2 + 11v + 4} \]

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