Identify the terms in the expression below. Select ALL that apply. 2v2+2v2𝑣2+2𝑣(2 points)Responses2v22𝑣22 v squared2222v2𝑣2 vv𝑣vQuestion 2Simplify the expression using the order of operations. (18−2)+(16√)6−22(18−2)+(16)6−22(1 point)Responses6665551010109

Answer 1

Let's analyze the expression step by step.

Identifying terms in the expression \(2v^2 + 2v^2 v^2 + 2v\):

1. Terms in the expression:

   • \(2v^2\) is a term
   • \(2v^2 v^2\) can be simplified to \(2v^4\), and it is also a term
   • \(2v\) is another term

   Thus, the terms you can select from your options are:

   • \(2v^2\)
   • \(2v^2 v^2\) (which is equivalent to \(2v^4\) but might not be represented in the options)
   • \(2v\)

From the options provided:

• \(2v^2\)
• \(2v\)
• \(v^2\) (since \(2v^2\) contains the part \(v^2\))
• \(v\) (since \(2v\) contains the part \(v\))

Simplifying the expression \((18 - 2) + (16\sqrt{6}) - 22\):

1. Calculate \(18 - 2\):

   • \(18 - 2 = 16\)

2. This gives the expression:

   • \(16 + (16\sqrt{6}) - 22\)

3. Now, simplify \(16 - 22\):

   • \(16 - 22 = -6\)

4. Combine the simplified terms:

   • \(-6 + 16\sqrt{6}\)

This means that we cannot directly provide a numerical response since there are no options listed matching our final answer.

If we had to evaluate this numerically using a value for \(\sqrt{6} \approx 2.45\), you could compute: \(-6 + 16(2.45)\)

But as given, the answer remains as:

• Final Answer: \(-6 + 16\sqrt{6}\) (which is approximate depending on the context of the answers).

If only numeric choices are available, none of those choices would be correct.

Final Responses:

1. Terms in \(2v^2 + 2v^2v^2 + 2v\): Choose \(2v^2\), \(2v\) if options provided.

2. For the simplified expression, we express the final form: \(-6 + 16\sqrt{6}\). If numeric answers are required, it may not match any of the options; usually the result can provide a number depending on given options (if any).