Question

Simplify: $(a-b)(c-d)$

Answer 1

Simplifying the algebraic expression

Multiplication of two binomials: Multiply each term of one binomial with each term of the other binomial and combine the like terms in the product.

$\begin{array}{rcl}(a-b)(c-d)& =& a\times c-a\times d-b\times c+b\times d\\ & =& ac-ad-bc+bd\end{array}$

Therefore, simplified result is $ac-ad-bc+bd$.