#### Answer

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

#### Work Step by Step

$2xy + 5y^2 - 4x - 10y = y(2x+5y) -2 (2x+5y)$
The binomial $(2x+5y)$ is present in both terms and is the greatest common factor. We use the distributive property to factor out $(2x+5y)$
$2xy + 5y^2 - 4x - 10y = y(2x+5y) -2 (2x+5y)= (2x+5y)(y-2)$