Question

What is the factorised form of $20l^{2}m+30alm?$ (2marks)

Answer 1

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

The given expression can be factorised as follows:-

$20l^{2}m+30alm$
$=(2\times 2\times 5\times l\times l\times m)+(2\times 3\times 5\times a\times l\times m)$ (1mark)

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

$=(2\times 5\times l\times m)\left[\right(2\times l)+(3\times a\left)\right]$
$=10lm(2l+3a)$ (1mark)