Rewriite problem by either distributings or factoring and then solve. Question 3, 4, and 5 have no numbers in them, therefore, they can't be solved with a calculator.
Q. `51(48)+51(50)+51(52)`=_____

Answer

To solve the expression \( 51(48) + 51(50) + 51(52) \) by factoring, we can follow these steps:

### Step 1: Identify the common factor
Notice that \( 51 \) is a common factor in all three terms of the expression.

### Step 2: Factor out the common factor
We can factor \( 51 \) out from the expression:
\[ 51(48) + 51(50) + 51(52) = 51(48 + 50 + 52) \]

### Step 3: Simplify the expression inside the parentheses
Now, we need to simplify the expression inside the parentheses:
\[ 48 + 50 + 52 \]
Calculating this gives:
\[ 48 + 50 = 98 \]
\[ 98 + 52 = 150 \]
So, we have:
\[ 48 + 50 + 52 = 150 \]

### Step 4: Substitute back into the factored expression
Now we can substitute back into the factored expression:
\[ 51(150) \]

### Step 5: Multiply to find the final result
Now, we multiply:
\[ 51 \times 150 \]
Calculating this gives:
\[ 51 \times 150 = 7650 \]

### Final Answer
Thus, the final result of the expression \( 51(48) + 51(50) + 51(52) \) is:
\[ \boxed{7650} \]