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3 years ago

Factor. 2xy+5x−12y−30

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

7 0

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 $(x-6)(2y+5).$

icang [17]3 years ago

4 0

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

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