Answer
$(4x+9y)(2x-3y)$
Work Step by Step
$8x^2+6xy-27y^2$
Factors of -27: 1 and -27, 3 and -9, 9 and -3, 27 and -1
Factors of 8: 1 and 8, 2 and 4, -1 and -8, -2 and -4
$(4x+9y)(2x-3y)$
$4x*2x+4x*-3y+9y*2x+9y*-3y$
$8x^2-12xy+18xy-27y^2$
$8x^2+6xy-27y^2$