Answer:
(D ) ( 4y + 9 ) ( x + 6 ) is correct option.
Step-by-step explanation:
Given : 4xy + 9x + 24y + 54.
To find : Factor completely.
Solution : We have given that 4xy + 9x + 24y + 54.
Interchanging the terms 9x and 24 y.
4xy + 24y + 9x + 54.
Taking common 4 y from first two terms and 9 from last two terms .
4 y ( x + 6 ) + 9 ( x + 6 )
On grouping
( 4y + 9 ) ( x + 6 ).
Therefore, (D ) ( 4y + 9 ) ( x + 6 ) is correct option.
