The sum of ` - a " and " - a^(2)` subtracted from `a^(3)` gives

Options

A. `- a ^(6)`
B. `a^(6)`
C. `a - a^(2) + a^(3)`
D. `a + a^(2) + a^(3)`

Answer

To solve the problem step by step, we need to follow the instructions given in the question. The question states that we need to find the result of the sum of `-a` and `-a^2` subtracted from `a^3`. Let's break this down step by step.

### Step 1: Identify the expressions
We have:
- Expression 1: `-a`
- Expression 2: `-a^2`
- Expression 3: `a^3`

### Step 2: Find the sum of `-a` and `-a^2`
To find the sum of `-a` and `-a^2`, we can write it as:
\[ \text{Sum} = -a + (-a^2) = -a - a^2 \]

### Step 3: Subtract the sum from `a^3`
Now, we need to subtract the sum we found in Step 2 from `a^3`. This can be expressed mathematically as:
\[ a^3 - (-a - a^2) \]

### Step 4: Simplify the expression
When we subtract a negative, it is equivalent to adding the positive. Therefore, we can rewrite the expression as:
\[ a^3 - (-a - a^2) = a^3 + a + a^2 \]

### Step 5: Rearrange the terms
We can rearrange the terms in the expression:
\[ a^3 + a + a^2 \]

### Final Result
Thus, the final result of the expression is:
\[ a^3 + a + a^2 \]