If z = 10. find the value of `z^(3) -3 (z - 10 )`.

Answer

To find the value of the expression \( z^3 - 3(z - 10) \) when \( z = 10 \), we can follow these steps:

### Step-by-Step Solution:

1. **Substitute the value of z**:
We know that \( z = 10 \). So, we will substitute \( z \) in the expression:
\[ z^3 - 3(z - 10) = 10^3 - 3(10 - 10) \]

2. **Calculate \( 10^3 \)**:
Now, we calculate \( 10^3 \):
\[ 10^3 = 10 \times 10 \times 10 = 1000 \]

3. **Calculate \( 10 - 10 \)**:
Next, we calculate \( 10 - 10 \):
\[ 10 - 10 = 0 \]

4. **Substitute back into the expression**:
Now, we substitute these values back into the expression:
\[ 1000 - 3(0) \]

5. **Calculate \( 3(0) \)**:
We know that multiplying any number by 0 gives us 0:
\[ 3(0) = 0 \]

6. **Final calculation**:
Now, we can simplify the expression:
\[ 1000 - 0 = 1000 \]

### Final Answer:
The value of the expression \( z^3 - 3(z - 10) \) when \( z = 10 \) is **1000**.

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