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Asked by Divya Last Modified
Answer To add the expressions \( a + b + ab \), \( b - c + bc \), and \( c + a + ac \), you can follow these steps:
1. Combine like terms for each expression.
2. Add the resulting expressions together.
Here's the arithmetic solution:
1. \( a + b + ab \)
2. \( b - c + bc \)
3. \( c + a + ac \)
Now, let's combine like terms:
1. \( a + b + ab \)
2. \( b - c + bc \)
3. \( c + a + ac \)
Now, add the expressions together:
\[ (a + b + ab) + (b - c + bc) + (c + a + ac) \]
Expanding, we get:
\[ a + b + ab + b - c + bc + c + a + ac \]
Now, combine like terms:
\[ a + a + b + b + b + c + c + ac + ab + bc \]
Now, simplify:
\[ 2a + 3b + 2c + ab + ac + bc \]
So, the sum of the expressions \( a + b + ab \), \( b - c + bc \), and \( c + a + ac \) is:
\[ 2a + 3b + 2c + ab + ac + bc \]
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