Question

Which of the following is the factorised form of $10l^{2}m+15alm?$

• A. $10lm(l+3a)$
• B. $5lm(l+3a)$
• C. $5lm(2l+3a)$
• D. None of the above

Answer 1

The correct option is C $5lm(2l+3a)$

$\text{Given, the expression is}10l^{2}m+15alm.$

The given expression can be factorised as follows:

$10l^{2}m+15alm$
$=(2\times 5\times l\times l\times m)+(3\times 5\times a\times l\times m)$

Taking out the common factors from both the terms, we get

$=(5\times l\times m)\left[\right(2\times l)+(3\times a\left)\right]$
$=5lm(2l+3a)$