MTTC 103 Elementary Practice

Question: 1 / 400

Simplify the expression (5^2 - 2)^2 + 3^3.

25

30

556

To simplify the expression \((5^2 - 2)^2 + 3^3\), we can break it down into smaller components.

First, calculate \(5^2\):

\[

5^2 = 25

\]

Next, subtract 2 from 25:

\[

25 - 2 = 23

\]

Now, square this result:

\[

(23)^2 = 529

\]

Next, we calculate \(3^3\):

\[

3^3 = 27

\]

Finally, add the two parts together:

\[

529 + 27 = 556

\]

Therefore, the simplified expression equals 556. The answer C is correct because it accurately reflects the calculations done step-by-step, ensuring that each operation is conducted properly.

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