If `a =101` then the value of `a (a ^(2) -3a + 3)` is

Options

A. 1000000
B. 1010101
C. 1000001
D. 999999

Answer

To solve the expression \( a(a^2 - 3a + 3) \) given that \( a = 101 \), we will follow these steps:

### Step 1: Substitute the value of \( a \)
We start by substituting \( a = 101 \) into the expression \( a(a^2 - 3a + 3) \).

\[ = 101(101^2 - 3 \times 101 + 3) \]

### Step 2: Calculate \( 101^2 \)
Next, we calculate \( 101^2 \).

\[ 101^2 = 10201 \]

### Step 3: Calculate \( -3 \times 101 \)
Now we calculate \( -3 \times 101 \).

\[ -3 \times 101 = -303 \]

### Step 4: Combine the terms inside the parentheses
Now we combine the results from Steps 2 and 3 with the constant \( 3 \).

\[ 101^2 - 3 \times 101 + 3 = 10201 - 303 + 3 \]

Calculating this step-by-step:

\[ 10201 - 303 = 9898 \]
\[ 9898 + 3 = 9901 \]

### Step 5: Multiply by \( 101 \)
Now we multiply the result from Step 4 by \( 101 \).

\[ 101 \times 9901 \]

Calculating this multiplication:

\[ 101 \times 9901 = 999101 \]

### Final Answer
Thus, the value of \( a(a^2 - 3a + 3) \) when \( a = 101 \) is:

\[ \boxed{999101} \]