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題目

解題步驟

1. Understand the question

   factor this expression. check your work.

   1. the total area of a cylinder is calculated by adding $2\\pi rh$ to $2\\pi r^{2}$.
2. Explanation

   Step1: Identify common factor

   The terms $2\pi r^2$ and $2\pi r h$ share the common factor $2\pi r$.

   Step2: Factor out the common term

   Factor $2\pi r$ from each term:
   $2\pi r^2 + 2\pi r h = 2\pi r(r + h)$

   Step3: Verify by expanding

   Multiply the factored form to check:
   $2\pi r(r + h) = 2\pi r \cdot r + 2\pi r \cdot h = 2\pi r^2 + 2\pi r h$
   This matches the original expression, confirming the factorization is correct.

3. Final answer

   $2\pi r(r + h)$

答案

Question Analysis

OCR Text

factor this expression. check your work.
39. the total area of a cylinder is calculated by adding $2\\pi rh$ to $2\\pi r^{2}$.

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