Simplify :
`a^(2) - 2a + {5a^(2) - 3a - 4a^(2)}`

Answer

To simplify the expression \( a^2 - 2a + (5a^2 - 3a - 4a^2) \), we can follow these steps:

### Step 1: Open the brackets
The expression can be rewritten by removing the brackets:
\[ a^2 - 2a + 5a^2 - 3a - 4a^2 \]

### Step 2: Combine like terms
Now, we will combine the like terms. The like terms here are the \( a^2 \) terms and the \( a \) terms:
- Combine \( a^2 \), \( 5a^2 \), and \( -4a^2 \):
\[ a^2 + 5a^2 - 4a^2 = (1 + 5 - 4)a^2 = 2a^2 \]

- Combine \( -2a \) and \( -3a \):
\[ -2a - 3a = -5a \]

### Step 3: Write the simplified expression
Putting it all together, we have:
\[ 2a^2 - 5a \]

### Step 4: Factor the expression (if needed)
We can factor out the common term \( a \):
\[ a(2a - 5) \]

Thus, the simplified expression is:
\[ a(2a - 5) \]

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