Question

Factorize the following:
$9x^{2}y+3axy$

Answer 1

Terms of the expression $9x^{2}y+3axy$ are $9x^{2}y\text{and}3axy$.

$9x^{2}y=3\times 3\times x\times x\times y$
$3axy=3\times a\times x\times y$

Greatest common factors $=3\times x\times y=3xy$

$\therefore 9x^{2}y+3axy=3xy(3\times x+a)$
$=3xy(3x+a)$

Hence, the factorized form is $3xy(3x+a)$.