ab-bc+ad-dc/ab+bc+ad+dc
Simplify and state the domain
To simplify the given expression, let's start by grouping like terms:
ab - bc + ad - dc / ab + bc + ad + dc
Now, let's simplify each set of like terms separately:
(ab - bc) + (ad - dc) / (ab + bc) + (ad + dc)
Now, let's simplify further:
(ab - bc) + (ad - dc) = ab - bc + ad - dc
(ab + bc) + (ad + dc) = ab + bc + ad + dc
So, the simplified expression is:
(ab - bc + ad - dc) / (ab + bc + ad + dc)
Now, let's determine the domain of the expression. The domain refers to the set of values for which the expression is defined or meaningful.
In this case, since division is involved in the expression, we need to check for any values that would result in a denominator of zero. If any value in the domain makes the denominator zero, then that value must be excluded.
To find the domain, we can set the denominator equal to zero and solve for any variables. However, in this case, we have a sum of terms in the denominator, so setting it equal to zero doesn't provide a meaningful solution.
Therefore, we can conclude that the domain of the expression is all real numbers.