Factorization by Grouping
Factorization by Grouping
Example 1
$$\textup{Factorize } ax+ay+bx+by$$
Solution
\begin{align*}
& ax+ay+bx+by\\
=& a(x+y)+b(x+y)\\
=& (x+y)(a+b)\\
\end{align*}
Example 2
$$\textup{Factorize } ax+ay+2x+2y$$
Solution
\begin{align*}
& ax+ay+2x+2y\\
=& a(x+y)+2(x+y)\\
=& (x+y)(a+2)\\
\end{align*}