Final answer:
The question requires multiplying and simplifying algebraic fractions, following the standard rules of algebra involving distribution and factoring. Without numerical values, we cannot fully simplify the expression but can combine like terms where possible.
Step-by-step explanation:
The question involves the multiplication and simplification of two algebraic fractions. To simplify the expression (nc-nd+ac-ad)/(nc+nd+ac+ad)*(tc+td-pc-pd)/(tc-td+pc-pd), we need to multiply the numerators together and multiply the denominators together, then simplify by canceling out common factors. As we work through the multiplication, we look for patterns or terms that can be factored or canceled out to simplify the final expression. While this particular expression doesn't simplify to a standard pattern, it would involve distributing the terms in the numerator and the denominator and then combining like terms where possible. However, without specific numerical values or additional context, we cannot fully simplify this expression. When dealing with algebraic fractions, it's essential to adhere to the principles of factoring and simplifying expressions to achieve the simplest form possible.