Question

Factor. 2xy+5x−12y−30

Answer 1

Answer:  The required factored form of the given expression is $(x-6)(2y+5).$

Step-by-step explanation:  We are given to factorize the following expression :

$E=2xy+5x-12y-30~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property :

$a(b+c)+d(b+c)=(a+d)(b+c).$

From expression (i), we have

$E\\\\=2xy+5x-12y-30\\\\=x(2y+5)-6(2y+5)\\\\=(x-6)(2y+5).$

Thus, the required factored form of the given expression is $(x-6)(2y+5).$

Answer 2

2xy + 5x -12y -30
x(2y + 5)  - 6( 2y + 5)
(2y+5) (x-6)