Rewrite the expression by factoring out $(u+ 2)$. S u^{2}(u+ 2)+(u+ 2)
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Answer

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Step 1
I'll solve this step by step, carefully following the LaTeX formatting guidelines:

Step 2
: Identify the common factor

The expression contains $(u+2)$ in two terms.
This suggests we can factor out $(u+ 2)$.

Final Answer

(u+ 2)(Su^{2} + 1) Key insights: - The common factor $(u+ 2)$ is pulled out - The remaining terms are grouped inside the second factor - The factoring is complete and verified by expanding back to the original expression