Math Problem Statement

ux + z^2 when u = -2, x = 2, z = 5

Solution

The expression provided is ux+z2ux + z^2, where u=2u = -2, x=2x = 2, and z=5z = 5.

Let's calculate this step by step:

  1. ux=(2)(2)=4ux = (-2)(2) = -4
  2. z2=52=25z^2 = 5^2 = 25

Now, summing these values:

ux+z2=4+25=21ux + z^2 = -4 + 25 = 21

Thus, the correct answer is 2121.

Would you like further details on this calculation?

Here are 5 related questions:

  1. How would the result change if uu were a positive number?
  2. What happens if we change xx or zz to negative values?
  3. How would the expression be affected if an additional term y2y^2 was added?
  4. What is the result of differentiating the expression ux+z2ux + z^2 with respect to xx?
  5. How would the calculation change if the equation were ux2+zux^2 + z?

Tip: Always substitute the values into the equation first before performing any operations, as it helps reduce mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Basic Arithmetic
Exponents

Formulas

ux + z^2

Theorems

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Suitable Grade Level

Grade 6-8