https://file.aiquickdraw.com/mathbot/file/1727434991180q7zketms.jpg

The expression shown in the image is:

\[
\left( \sqrt{45} - \sqrt{5} \right)^2
\]

### Steps to Simplify:

1. **Simplify the square roots:**
   - \( \sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5} \)
   - \( \sqrt{5} \) remains as is.

   So, the expression becomes:
   \[
   \left( 3\sqrt{5} - \sqrt{5} \right)^2
   \]

2. **Factor out the common term \( \sqrt{5} \):**
   \[
   \left( 3\sqrt{5} - \sqrt{5} \right) = \sqrt{5}(3 - 1) = 2\sqrt{5}
   \]

   Now the expression is:
   \

Learn how to simplify the expression (√45 - √5)^2 with detailed step-by-step instructions, including simplifying square roots and factoring. Ideal for students in Grades 9-11 studying algebraic concepts.

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