Question

Which of the following is the factorised form of $20l^{2}m+30alm?$

• A. $10lm(l+3a)$
• B. $10lm(2l+3a)$
• C. $5lm(2l+3a)$
• D. $10lm(2l-3a)$

Answer 1

The correct option is B $10lm(2l+3a)$

$\text{Given, the expression is}20l^{2}m+30alm.$

The given expression can be factorised as follows:-

$20l^{2}m+30alm$
$=(2\times 2\times 5\times l\times l\times m)+(2\times 3\times 5\times a\times l\times m)$

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

$=(2\times 5\times l\times m)\left[\right(2\times l)+(3\times a\left)\right]$
$=10lm(2l+3a)$