`12 times (28 -15)="________"-(12 times 15)`

Options

A. `(17 times 28)`, commutative property of multiplication
B. `(12 times 28)`, distributive property of multiplication over subtraction
C. `(19 times 28)`, commutative property of multiplication
D. `(17 times 98)`, associative property of multiplication

Answer

To solve the equation \( 12 \times (28 - 15) = "________" - (12 \times 15) \), we can use the distributive property of multiplication over subtraction.

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression \( 12 \times (28 - 15) \).

2. **Apply the Distributive Property**: According to the distributive property, \( a \times (b - c) = a \times b - a \times c \). Here, \( a = 12 \), \( b = 28 \), and \( c = 15 \).

So, we can rewrite the expression as:
\[ 12 \times (28 - 15) = 12 \times 28 - 12 \times 15 \]

3. **Fill in the Blank**: From the above step, we can see that the blank can be filled with \( 12 \times 28 \).

Therefore, the equation now looks like:
\[ 12 \times (28 - 15) = 12 \times 28 - (12 \times 15) \]

4. **Final Answer**: The value that fills the blank is \( 12 \times 28 \).

### Conclusion:
The complete equation is:
\[ 12 \times (28 - 15) = 12 \times 28 - (12 \times 15) \]