If x = 10, then the value of `(4x^(2) + 20x + 25) = ?`

Options

A. 256
B. 425
C. 625
D. 575

Answer

To find the value of the expression \(4x^2 + 20x + 25\) when \(x = 10\), we can follow these steps:

### Step-by-Step Solution:

1. **Substitute the value of \(x\)**:
We start by substituting \(x = 10\) into the expression.
\[ 4(10)^2 + 20(10) + 25 \]

2. **Calculate \(10^2\)**:
First, we calculate \(10^2\).
\[ 10^2 = 100 \]

3. **Multiply by 4**:
Now, we multiply \(100\) by \(4\).
\[ 4 \times 100 = 400 \]

4. **Calculate \(20 \times 10\)**:
Next, we calculate \(20 \times 10\).
\[ 20 \times 10 = 200 \]

5. **Add the values together**:
Now, we add all the values we calculated:
\[ 400 + 200 + 25 \]

6. **Perform the addition step-by-step**:
First, add \(400\) and \(200\):
\[ 400 + 200 = 600 \]
Then, add \(25\):
\[ 600 + 25 = 625 \]

### Final Answer:
Thus, the value of the expression \(4x^2 + 20x + 25\) when \(x = 10\) is \(625\).

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