Which expression is equivalentto x x x x7 + 7 − 6 − 33 3( ) ( ) ?A) x x+ 103B) x x−13 + 103C) x x−13 + 43D) x x+ 4

To solve the expression $x^4 + 7 - 6 - 33 \cdot 3$, we'll break it down into manageable parts.

1. Break Down the Problem

We need to simplify the expression:

• $x^4 + 7 - 6 - 33 \cdot 3$

2. Relevant Concepts

The relevant operations here involve:

• Basic arithmetic operations (addition and subtraction)
• Identifying constants

3. Analysis and Detail

1. Calculate the multiplied term: $33 \cdot 3 = 99$

2. Substituting the multiplied term back into the expression: $x^4 + 7 - 6 - 99$

3. Combine the constant terms: $7 - 6 = 1$ Therefore, $1 - 99 = -98$

4. Putting this back into the expression: $x^4 - 98$

4. Verify and Summarize

The simplified expression we have derived is: $x^4 - 98$ It’s necessary to compare this with the given options to check for equivalency.

Final Answer

The correct answer is not listed among the options provided. The equivalent expression is $x^4 - 98$. Please verify if the given options should reflect this result or if there was a transcription error.