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The expression to evaluate is \( 2xy + z^2 \), and the given values are:

- \( x = 14 \)
- \( y = 29 \)
- \( z = 11 \)

Substituting the values into the expression:

\[
2xy + z^2 = 2(14)(29) + (11)^2
\]

First, calculate \( 2xy \):

\[
2 \times 14 \times 29 = 812
\]

Next, calculate \( z^2 \):

\[
11^2 = 121
\]

Now, sum the results:

\[
812 + 121 = 933
\]

Thus, the value of the expression is \( 933 \).

Would you like further details or clarifications?

Here are 5 related questions you could explore:
1. How would the expression change if \( z = 15 \)?
2. What is the impact of doubling the value of \( x \) in the expression \( 2xy + z^2 \)?
3. How would the result change if \( y \) was halved?
4. Can you create a graph of \( 2xy + z^2 \) for variable \( z \) while keeping \( x \) and \( y \) constant?
5. What is the significance of the order of operations in solving this expression?

**Tip:** Always ensure to follow the correct order of operations (PEMDAS/BODMAS) when evaluating expressions with multiple terms and powers.

If x = 14, y = 29, and z = 11, evaluate the expression 2xy + z^2.

Evaluate the algebraic expression 2xy + z^2 with x = 14, y = 29, and z = 11. Learn how to substitute values and perform calculations step by step. Ideal for students in Grades 6-8.

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