QQuestionMathematics
QuestionMathematics
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 $(u+ 2)$.
Step 3:: Factor out $(u+ 2)$
Su^{2}(u+ 2) + (u+ 2) We can rewrite this as: (u+ 2)(Su^{2} + 1)
Step 4:: Verify the factoring
Let's check by expanding the factored form: (u+ 2)(Su^{2} + 1) = Su^{2}(u+ 2) + 1(u+ 2) This matches the original expression.
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
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