Question

Factorize:- 8(5x+9y)2 + 12(5x+9y)

Answer 1

Hey


The given equation is :-


8 ( 5x + 9y )² + 12 ( 5x + 9y )


= 8 ( 5x + 9y ) ( 5x + 9y ) + 12 ( 5x + 9y )


= 4 ( 5x + 9y ) [ 2 ( 5x + 9y ) + 3 ( 1 ) ]


= 4 ( 5x + 9y ) ( 10x + 18 y + 3 )


thanks :)

Answer 2

The factorisation of $8(5x+9y)^2+12(5x+9y)$ is $4(5x+9y)(10x+18y+3)$.

Step-by-step explanation:

We have,

$8(5x+9y)^2+12(5x+9y)$

To find, the factorisation of $8(5x+9y)^2+12(5x+9y)=?$

∴$8(5x+9y)^2+12(5x+9y)$

Since, $(a+b)^{2}$=(a+b)(a+b)

$8(5x+9y)(5x+9y)+12(5x+9y)$

Taking common as (5x + 9y), we get

$=(5x+9y)[8(5x+9y)+12]$

$=(5x+9y)[40x+72y+12]$

Taking common as 4, we get

$=4(5x+9y)[10x+18y+3]$

Hence, the factorisation of $8(5x+9y)^2+12(5x+9y)$ is $4(5x+9y)(10x+18y+3)$.