Use distributive law to find the value of `1063 `x` 128-1063 `x` 28`

Options

A. 106200
B. 106300
C. 106100
D. 106400

Answer

To solve the expression \(1063 \times 128 - 1063 \times 28\) using the distributive law, we can follow these steps:

### Step 1: Identify Common Factors
We notice that \(1063\) is a common factor in both terms of the expression.

### Step 2: Apply the Distributive Law
Using the distributive law, we can factor out \(1063\) from the expression:
\[ 1063 \times 128 - 1063 \times 28 = 1063 \times (128 - 28) \]

### Step 3: Simplify the Expression Inside the Parentheses
Now, we need to calculate \(128 - 28\):
\[ 128 - 28 = 100 \]

### Step 4: Multiply the Result by the Common Factor
Now we can substitute back into the expression:
\[ 1063 \times (128 - 28) = 1063 \times 100 \]

### Step 5: Calculate the Final Result
Now we perform the multiplication:
\[ 1063 \times 100 = 106300 \]

### Final Answer
Thus, the value of \(1063 \times 128 - 1063 \times 28\) is \(106300\).

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