Evaluate the following after simplifying the multiplication using properties of multiplication.
`(-40) times 17+40 times (-13)`

Answer

To evaluate the expression \((-40) \times 17 + 40 \times (-13)\), we can follow these steps:

### Step 1: Rewrite the Expression
We can rewrite the expression by factoring out the common factor of 40. Notice that \(-40\) can be expressed as \(-1 \times 40\):
\[ (-40) \times 17 + 40 \times (-13) = -40 \times 17 + 40 \times (-13) \]

### Step 2: Factor Out the Common Factor
Now, we can factor out \(40\) from both terms:
\[ = 40 \times (-17) + 40 \times (-13) \]
This can be simplified using the distributive property:
\[ = 40 \times (-17 - 13) \]

### Step 3: Simplify Inside the Parentheses
Now, we simplify the expression inside the parentheses:
\[ -17 - 13 = -30 \]
So, we have:
\[ = 40 \times (-30) \]

### Step 4: Multiply
Finally, we multiply:
\[ 40 \times (-30) = -1200 \]

### Final Answer
Thus, the value of the expression \((-40) \times 17 + 40 \times (-13)\) is:
\[ \boxed{-1200} \]

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