Question:
Factorize each of the following algebraic expressions:
3a(x − 2y) −b(x − 2y)
Solution:
$3 a(x-2 y)-b(x-2 y)$
$3 \mathrm{a}(\mathrm{x}-2 \mathrm{y})-\mathrm{b}(\mathrm{x}-2 \mathrm{y})$
$=(3 \mathrm{a}-\mathrm{b})(\mathrm{x}-2 \mathrm{y})$$\quad[$ Taking $(\mathrm{x}-2 \mathrm{y})$ as the common factor $]$