
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider the quadratic expression \(x^2 + bx - 6\), where \(b\) is a constant. If \(x\) increases or decreases by a positive amount \(a\), by how much does the expression change?
\(\textbf{A)}\ 2ax + a^2 + ba\)
\(\textbf{B)}\ -2ax + a^2 - ba\)
\(\textbf{C)}\ 2ax \pm a^2 \pm ba\)
\(\textbf{D)}\ (x + a)^2 + bx - 6\)
\(\textbf{E)}\ (x - a)^2 + bx - 6\)

Present the answer in LaTex format: \boxed{Your answer}
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