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The problem asks you to rewrite the expression by factoring out \( (u - 3) \) from the given expression:

\[
7u^2(u - 3) - 3(u - 3)
\]

### Step-by-step solution:

1. **Identify common factor**: Both terms in the expression contain \( (u - 3) \). So, \( (u - 3) \) can be factored out.
   
   The original expression is:

   \[
   7u^2(u - 3) - 3(u - 3)
   \]

   Factoring out \( (u - 3) \), we get:

   \[
   (u - 3) \left[ 7u^2 - 3 \right]
   \]

### Final answer:

The factored form of the expression is:

\[
(u - 3)(7u^2 - 3)
\]

If you have any questions or need further clarification, feel free to ask!

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Here are 5 related questions for practice:

1. Factor \( 5x^3(x + 2) - 2(x + 2) \).
2. Factor \( 4a(a - 1) - 2(a - 1) \).
3. Factor \( x^2(y - 4) + 6(y - 4) \).
4. Factor \( 9z^2(z + 5) - 15(z + 5) \).
5. Factor \( p^2(p - 2) + 4(p - 2) \).

**Tip:** When factoring expressions, always look for common terms or factors that can be pulled out from all parts of the expression.

Rewrite the expression by factoring out (u - 3) from the given expression: 7u^2(u - 3) - 3(u - 3).

Learn how to factor the algebraic expression 7u^2(u - 3) - 3(u - 3) by identifying and factoring out common terms like (u - 3). Detailed step-by-step solution provided, suitable for Grades 8-10.

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