Question:
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Solution:
$\mathrm{a}^{2}(\mathrm{x}+\mathrm{y})+\mathrm{b}^{2}(\mathrm{x}+\mathrm{y})+\mathrm{c}^{2}(\mathrm{x}+\mathrm{y})$
$=\left(\mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}\right)(\mathrm{x}+\mathrm{y})$$\quad[$ Taking $(\mathrm{x}+\mathrm{y})$ as the common factor $]$