Question

Factor completely 4xy + 9x + 24y + 54.

I am pretty sure this is D but i would appreciate if someone checks me!

A. (4y − 9)(x − 6)
B. (4y − 9)(x + 6)
C. (4y + 9)(x − 6)
D.(4y + 9)(x + 6)

Answer 1

(x+6)(4y+9) yes it is D.

Answer 2

(D ) ( 4y + 9 ) ( x + 6 ) is correct option.

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.