On dividing `24 a ^(2) b ^(2) by 6 b ^(2),` we will get

Options

A. `4b ^(2)`
B. `4a ^(2)`
C. `4 a ^(2) b ^(2)`
D. `4`

Answer

To solve the problem of dividing \( 24a^2b^2 \) by \( 6b^2 \), we can follow these steps:

### Step 1: Write the division as a fraction
We start by expressing the division as a fraction:
\[ \frac{24a^2b^2}{6b^2} \]

### Step 2: Simplify the coefficients
Next, we simplify the numerical coefficients. We divide \( 24 \) by \( 6 \):
\[ \frac{24}{6} = 4 \]

### Step 3: Simplify the variable \( b \)
Now, we simplify the \( b^2 \) terms. Since both the numerator and the denominator have \( b^2 \), they cancel each other out:
\[ b^2 \div b^2 = 1 \]

### Step 4: Combine the results
After simplifying the coefficients and the \( b \) terms, we are left with:
\[ 4a^2 \cdot 1 = 4a^2 \]

### Final Answer
Thus, the result of dividing \( 24a^2b^2 \) by \( 6b^2 \) is:
\[ 4a^2 \]

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