Questions: Add (x^6-7)+(x^6+7) (x^6-7)+(x^6+7)= (Simplify your answer.)

Add
(x^6-7)+(x^6+7)
(x^6-7)+(x^6+7)=
(Simplify your answer.)

Transcript text: Add \[ \begin{array}{l} \left(x^{6}-7\right)+\left(x^{6}+7\right) \\ \left(x^{6}-7\right)+\left(x^{6}+7\right)= \end{array} \] $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the given expression, we need to combine like terms. Notice that the terms \(x^6\) and \(-7\) in the first polynomial and \(x^6\) and \(7\) in the second polynomial can be combined.

Solution Approach

Combine the \(x^6\) terms from both polynomials.
Combine the constant terms \(-7\) and \(7\).

Step 1: Combine Like Terms

We start with the expression: \[ \left(x^{6}-7\right)+\left(x^{6}+7\right) \] We can combine the \(x^6\) terms: \[ x^6 + x^6 = 2x^6 \]

Step 2: Combine Constant Terms

Next, we combine the constant terms: \[ -7 + 7 = 0 \]

Step 3: Write the Simplified Expression

Putting it all together, we have: \[ 2x^6 + 0 \] This simplifies to: \[ 2x^6 \]

Final Answer

\(\boxed{2x^6}\)

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