Answer
$(-2x+1y)(-3x+5y)$
Work Step by Step
$6x^2-13xy+5y^2$
Factors of 5: 1 and 5
Factors of 6 1 and 6, 2 and 3, -1 and -6, -2 and -3
$(-1x+1y)(-6x+5y)$
$-x*-6x+5y*-x+y*-6x+y*5y$
$6x^2-5xy-6xy+5y^2$
$6x^2-11xy+5y^2$
$(-2x+1y)(-3x+5y)$
$-2x*-3x+5y*-2x+y*-3x+y*5y$
$6x^2-10xy-3xy+5y^2$
$6x^2-13xy+5y^2$