Which of the following is the factorised form of 20 l 2 m + 30 a l m ? Options: A . &nbsp 10 l m ( l + 3 a ) B . &nbsp 10 l m ( 2 l + 3 a ) C . &nbsp 5 l m ( 2 l + 3 a ) D . &nbsp 10 l m ( 2 l − 3 a )

Answer: Option B : B Given, the expression is 20 l 2 m + 30 a l m . The given expression can be factorised as follows :- 20 l 2 m + 30 a l m = ( 2 × 2 × 5 × l × l × m ) + ( 2 × 3 × 5 × a × l × m ) Taking out the common factors from both the terms, we get = ( 2 × 5 × l × m ) [ ( 2 × l ) + ( 3 × a ) ] = 10 l m ( 2 l + 3 a )

Which of the following is the factorised form of 20l2m+30alm?

Question

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

Options:

A .

10 l m (l + 3 a)

B .

10 l m (2 l + 3 a)

C .

5 l m (2 l + 3 a)

D .

10 l m (2 l - 3 a)

Answer: Option B
:
B

$Given, the expression is 20 l^{2} m + 30 a l m .$
The given expression can be factorised as follows :-
$20 l^{2} m + 30 a l m$
$= (2 \times 2 \times 5 \times l \times l \times m) + (2 \times 3 \times 5 \times a \times l \times m)$
Taking out the common factors from both the terms, we get
$= (2 \times 5 \times l \times m) [(2 \times l) + (3 \times a)]$
$= 10 l m (2 l + 3 a)$